257808031504 has 45 divisors (see below), whose sum is σ = 522259454983. Its totient is φ = 123277152416.

The previous prime is 257808031499. The next prime is 257808031519. The reversal of 257808031504 is 405130808752.

The square root of 257808031504 is 507748.

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

It is a super-2 number, since 2×257808031504² (a number of 24 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46710057 + ... + 46715575.

Almost surely, 2^257808031504 is an apocalyptic number.

257808031504 is the 507748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257808031504

257808031504 is an abundant number, since it is smaller than the sum of its proper divisors (264451423479).

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

257808031504 is an frugal number, since it uses more digits than its factorization.

257808031504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 257808031504 in words is "two hundred fifty-seven billion, eight hundred eight million, thirty-one thousand, five hundred four".