257073552 has 60 divisors (see below), whose sum is σ = 721144320. Its totient is φ = 85489344.

The previous prime is 257073547. The next prime is 257073569. The reversal of 257073552 is 255370752.

It is a happy number.

257073552 is a `hidden beast` number, since 2 + 570 + 7 + 35 + 52 = 666.

It is a super-2 number, since 2×257073552² = 132173622275793408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67113 + ... + 70839.

It is an arithmetic number, because the mean of its divisors is an integer number (12019072).

Almost surely, 2^257073552 is an apocalyptic number.

It is an amenable number.

257073552 is an abundant number, since it is smaller than the sum of its proper divisors (464070768).

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

257073552 is a wasteful number, since it uses less digits than its factorization.

257073552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 257073552 is about 16033.5134016222. The cubic root of 257073552 is about 635.8467650293.

The spelling of 257073552 in words is "two hundred fifty-seven million, seventy-three thousand, five hundred fifty-two".