257213300 has 18 divisors (see below), whose sum is σ = 558153078. Its totient is φ = 102885280.

The previous prime is 257213291. The next prime is 257213303. The reversal of 257213300 is 3312752.

It can be written as a sum of positive squares in 3 ways, for example, as 30891364 + 226321936 = 5558^2 + 15044^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257213303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1285967 + ... + 1286166.

Almost surely, 2^257213300 is an apocalyptic number.

257213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257213300 is an abundant number, since it is smaller than the sum of its proper divisors (300939778).

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

257213300 is a wasteful number, since it uses less digits than its factorization.

257213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572147 (or 2572140 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 257213300 is about 16037.8708063134. The cubic root of 257213300 is about 635.9619619142.

The spelling of 257213300 in words is "two hundred fifty-seven million, two hundred thirteen thousand, three hundred".