257013824 has 14 divisors (see below), whose sum is σ = 510011934. Its totient is φ = 128506880.

The previous prime is 257013797. The next prime is 257013829. The reversal of 257013824 is 428310752.

It can be written as a sum of positive squares in only one way, i.e., 232013824 + 25000000 = 15232^2 + 5000^2 .

It is a super-2 number, since 2×257013824² = 132112211454205952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (257013829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2007857 + ... + 2007984.

Almost surely, 2^257013824 is an apocalyptic number.

It is an amenable number.

257013824 is a deficient number, since it is larger than the sum of its proper divisors (252998110).

257013824 is an equidigital number, since it uses as much as digits as its factorization.

257013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015853 (or 4015843 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 257013824 is about 16031.6506947975. The cubic root of 257013824 is about 635.7975173894.

The spelling of 257013824 in words is "two hundred fifty-seven million, thirteen thousand, eight hundred twenty-four".