255960105625 has 105 divisors (see below), whose sum is σ = 379587115897. Its totient is φ = 172540662000.

The previous prime is 255960105619. The next prime is 255960105649. The reversal of 255960105625 is 526501069552.

It is a happy number.

The square root of 255960105625 is 505925.

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

It can be written as a sum of positive squares in 2 ways, for example, as 20067272281 + 235892833344 = 141659^2 + 485688^2 .

It is not a de Polignac number, because 255960105625 - 2¹⁵ = 255960072857 is a prime.

It is a super-2 number, since 2×255960105625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 4338306846 + ... + 4338306904.

Almost surely, 2^255960105625 is an apocalyptic number.

255960105625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255960105625 is the 505925-th square number.

255960105625 is the 252963-rd centered octagonal number.

It is an amenable number.

255960105625 is a deficient number, since it is larger than the sum of its proper divisors (123627010272).

255960105625 is an frugal number, since it uses more digits than its factorization.

255960105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 255960105625 in words is "two hundred fifty-five billion, nine hundred sixty million, one hundred five thousand, six hundred twenty-five".