Search a number
-
+
255272510025 = 325213225912
BaseRepresentation
bin1110110110111101101…
…1010110001001001001
3220101220101021010011100
43231233123112021021
513140244230310100
6313134235452013
724304614351051
oct3555733261111
9811811233140
10255272510025
119929574a055
12415822b7009
131b0c2511c00
14c4d8b6c561
156990b4e400
hex3b6f6d6249

255272510025 has 81 divisors (see below), whose sum is σ = 495288917877. Its totient is φ = 125624116800.

The previous prime is 255272510023. The next prime is 255272510033. The reversal of 255272510025 is 520015272552.

The square root of 255272510025 is 505245.

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

255272510025 is a `hidden beast` number, since 2 + 5 + 52 + 72 + 510 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65796867081 + 189475642944 = 256509^2 + 435288^2 .

It is not a de Polignac number, because 255272510025 - 21 = 255272510023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (255272510023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98521480 + ... + 98524070.

Almost surely, 2255272510025 is an apocalyptic number.

255272510025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255272510025 is the 505245-th square number.

255272510025 is the 252623-rd centered octagonal number.

It is an amenable number.

255272510025 is a deficient number, since it is larger than the sum of its proper divisors (240016407852).

255272510025 is an equidigital number, since it uses as much as digits as its factorization.

255272510025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

Multiplying 255272510025 by its sum of digits (36), we get a square (9189810360900 = 30314702).

Adding to 255272510025 its reverse (520015272552), we get a palindrome (775287782577).

The spelling of 255272510025 in words is "two hundred fifty-five billion, two hundred seventy-two million, five hundred ten thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2591 2925 4225 7605 7773 12675 12955 23319 33683 38025 38865 64775 101049 116595 168415 194325 303147 437879 505245 582975 842075 1313637 1515735 2189395 2526225 3940911 6568185 6713281 7578675 10946975 19704555 20139843 32840925 33566405 60419529 87272653 98522775 100699215 167832025 261817959 302097645 436363265 503496075 785453877 1134544489 1309089795 1510488225 2181816325 3403633467 3927269385 5672722445 6545448975 10210900401 17018167335 19636346925 28363612225 51054502005 85090836675 255272510025