257616130226900 has 36 divisors (see below), whose sum is σ = 566684906753532. Its totient is φ = 101634856853760.

The previous prime is 257616130226879. The next prime is 257616130226911. The reversal of 257616130226900 is 9622031616752.

It can be written as a sum of positive squares in 6 ways, for example, as 9496233907216 + 248119896319684 = 3081596^2 + 15751822^2 .

It is a super-2 number, since 2×257616130226900² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17644933127 + ... + 17644947726.

Almost surely, 2^{257616130226900} is an apocalyptic number.

257616130226900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257616130226900 is an abundant number, since it is smaller than the sum of its proper divisors (309068776526632).

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

257616130226900 is a wasteful number, since it uses less digits than its factorization.

257616130226900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35289880940 (or 35289880933 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 257616130226900 in words is "two hundred fifty-seven trillion, six hundred sixteen billion, one hundred thirty million, two hundred twenty-six thousand, nine hundred".