255263161362552 has 256 divisors, whose sum is σ = 862594116480000. Its totient is φ = 68317452656640.

The previous prime is 255263161362523. The next prime is 255263161362589.

255263161362552 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 6 + 3 + 1 + 6 + 1 + 3 + 625 + 5 + 2 = 666.

255263161362552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47361849 + ... + 52475432.

It is an arithmetic number, because the mean of its divisors is an integer number (3369508267500).

Almost surely, 2^{255263161362552} is an apocalyptic number.

It is an amenable number.

255263161362552 is an abundant number, since it is smaller than the sum of its proper divisors (607330955117448).

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

255263161362552 is a wasteful number, since it uses less digits than its factorization.

255263161362552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99837411 (or 99837401 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 255263161362552 in words is "two hundred fifty-five trillion, two hundred sixty-three billion, one hundred sixty-one million, three hundred sixty-two thousand, five hundred fifty-two".