257764052521024 has 63 divisors (see below), whose sum is σ = 595012909654173. Its totient is φ = 110469922902528.

The previous prime is 257764052520983. The next prime is 257764052521037. The reversal of 257764052521024 is 420125250467752.

The square root of 257764052521024 is 16055032.

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

It can be written as a sum of positive squares in only one way, i.e., 103665793089600 + 154098259431424 = 10181640^2 + 12413632^2 .

It is a super-2 number, since 2×257764052521024² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 898938444 + ... + 899225140.

Almost surely, 2^{257764052521024} is an apocalyptic number.

257764052521024 is the 16055032-nd square number.

It is an amenable number.

257764052521024 is an abundant number, since it is smaller than the sum of its proper divisors (337248857133149).

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

257764052521024 is an frugal number, since it uses more digits than its factorization.

257764052521024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573420 (or 286706 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 52.

The spelling of 257764052521024 in words is "two hundred fifty-seven trillion, seven hundred sixty-four billion, fifty-two million, five hundred twenty-one thousand, twenty-four".