257824279696 has 45 divisors (see below), whose sum is σ = 508102042539. Its totient is φ = 126737894400.

The previous prime is 257824279681. The next prime is 257824279697. The reversal of 257824279696 is 696972428752.

The square root of 257824279696 is 507764.

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 113728119696 + 144096160000 = 337236^2 + 379600^2 .

It is a super-2 number, since 2×257824279696² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257824279697) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123893376 + ... + 123895456.

Almost surely, 2^257824279696 is an apocalyptic number.

257824279696 is the 507764-th square number.

It is an amenable number.

257824279696 is a deficient number, since it is larger than the sum of its proper divisors (250277762843).

257824279696 is an frugal number, since it uses more digits than its factorization.

257824279696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 2144 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 67.

The spelling of 257824279696 in words is "two hundred fifty-seven billion, eight hundred twenty-four million, two hundred seventy-nine thousand, six hundred ninety-six".