255725262527552 has 112 divisors (see below), whose sum is σ = 513392029199664. Its totient is φ = 126371266560000.

The previous prime is 255725262527467. The next prime is 255725262527563.

255725262527552 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 30880515736576 + 224844746790976 = 5557024^2 + 14994824^2 .

It is a super-2 number, since 2×255725262527552² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20102600552 + ... + 20102613272.

Almost surely, 2^{255725262527552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255725262527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256696014599832).

255725262527552 is an abundant number, since it is smaller than the sum of its proper divisors (257666766672112).

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

255725262527552 is a wasteful number, since it uses less digits than its factorization.

255725262527552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18128 (or 18118 counting only the distinct ones).

The product of its digits is 294000000, while the sum is 62.

The spelling of 255725262527552 in words is "two hundred fifty-five trillion, seven hundred twenty-five billion, two hundred sixty-two million, five hundred twenty-seven thousand, five hundred fifty-two".