257128098084 has 405 divisors, whose sum is σ = 804134492931. Its totient is φ = 71558847360.

The previous prime is 257128098037. The next prime is 257128098091. The reversal of 257128098084 is 480890821752.

The square root of 257128098084 is 507078.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16007816484 + 241120281600 = 126522^2 + 491040^2 .

It is a super-2 number, since 2×257128098084² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257128098084.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1305218674 + ... + 1305218870.

Almost surely, 2^257128098084 is an apocalyptic number.

257128098084 is the 507078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257128098084

257128098084 is an abundant number, since it is smaller than the sum of its proper divisors (547006394847).

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

257128098084 is a wasteful number, since it uses less digits than its factorization.

257128098084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 257128098084 in words is "two hundred fifty-seven billion, one hundred twenty-eight million, ninety-eight thousand, eighty-four".