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5073000625 = 5472112372
BaseRepresentation
bin1001011100101111…
…11101100010110001
3111002112202010121001
410232113331202301
540342142010000
62155220002001
7236466536200
oct45627754261
914075663531
105073000625
112173638500
12b96b30301
1362b00b124
14361a65237
151ea57646a
hex12e5fd8b1

5073000625 has 135 divisors (see below), whose sum is σ = 8330510727. Its totient is φ = 3076920000.

The previous prime is 5073000577. The next prime is 5073000631. The reversal of 5073000625 is 5260003705.

The square root of 5073000625 is 71225.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1684363681 + 3388636944 = 41041^2 + 58212^2 .

It is not a de Polignac number, because 5073000625 - 213 = 5072992433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5073000593 and 5073000602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 137108107 + ... + 137108143.

Almost surely, 25073000625 is an apocalyptic number.

5073000625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5073000625 is the 71225-th square number.

5073000625 is the 35613-rd centered octagonal number.

It is an amenable number.

5073000625 is a deficient number, since it is larger than the sum of its proper divisors (3257510102).

5073000625 is an equidigital number, since it uses as much as digits as its factorization.

5073000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The cubic root of 5073000625 is about 1718.2577256858.

The spelling of 5073000625 in words is "five billion, seventy-three million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 7 11 25 35 37 49 55 77 121 125 175 185 245 259 275 385 407 539 605 625 847 875 925 1225 1295 1369 1375 1813 1925 2035 2695 2849 3025 4235 4375 4477 4625 5929 6125 6475 6845 6875 9065 9583 9625 10175 13475 14245 15059 15125 19943 21175 22385 23125 29645 30625 31339 32375 34225 45325 47915 48125 50875 67081 67375 71225 75295 75625 99715 105413 105875 111925 148225 156695 161875 165649 171125 219373 226625 239575 254375 335405 336875 356125 376475 498575 527065 529375 559625 737891 741125 783475 828245 855625 1096865 1133125 1159543 1197875 1677025 1780625 1882375 2492875 2635325 2798125 3689455 3705625 3917375 4141225 5484325 5797715 5989375 8116801 8385125 9411875 12464375 13176625 18447275 19586875 20706125 27421625 28988575 40584005 41925625 65883125 92236375 103530625 137108125 144942875 202920025 461181875 724714375 1014600125 5073000625