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5265995625 = 33541122579
BaseRepresentation
bin1001110011110000…
…01011011101101001
3111120222220021222000
410321320023131221
541241043330000
62230312321213
7244332136632
oct47170133551
914528807860
105265995625
112262576500
12102b6a3209
1365bcb1b57
1437d542889
1520c49a000
hex139e0b769

5265995625 has 120 divisors (see below), whose sum is σ = 10719693600. Its totient is φ = 2552220000.

The previous prime is 5265995621. The next prime is 5265995639.

5265995625 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 9 + 9 + 5 + 625 = 666.

5265995625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5265995625 - 22 = 5265995621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5265995621) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2040586 + ... + 2043164.

It is an arithmetic number, because the mean of its divisors is an integer number (89330780).

Almost surely, 25265995625 is an apocalyptic number.

5265995625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5265995625 is an abundant number, since it is smaller than the sum of its proper divisors (5453697975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5265995625 is a wasteful number, since it uses less digits than its factorization.

5265995625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2598 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The square root of 5265995625 is about 72567.1800816319. The cubic root of 5265995625 is about 1739.7766508799.

The spelling of 5265995625 in words is "five billion, two hundred sixty-five million, nine hundred ninety-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 121 125 135 165 225 275 297 363 375 495 605 625 675 825 1089 1125 1375 1485 1815 1875 2475 2579 3025 3267 3375 4125 5445 5625 6875 7425 7737 9075 12375 12895 15125 16335 16875 20625 23211 27225 28369 37125 38685 45375 61875 64475 69633 75625 81675 85107 116055 136125 141845 185625 193425 226875 255321 312059 322375 348165 408375 425535 580275 680625 709225 765963 936177 967125 1276605 1560295 1611875 1740825 2041875 2127675 2808531 2901375 3546125 3829815 4680885 4835625 6383025 7801475 8425593 8704125 10638375 14042655 14506875 17730625 19149075 23404425 31915125 39007375 42127965 43520625 53191875 70213275 95745375 117022125 159575625 195036875 210639825 351066375 478726875 585110625 1053199125 1755331875 5265995625