257542056 has 48 divisors (see below), whose sum is σ = 701719200. Its totient is φ = 85329312.

The previous prime is 257542003. The next prime is 257542067. The reversal of 257542056 is 650245752.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257542056.

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, 1315 + ... + 22733.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^257542056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257542056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

257542056 is an abundant number, since it is smaller than the sum of its proper divisors (444177144).

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

257542056 is a wasteful number, since it uses less digits than its factorization.

257542056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21598 (or 21591 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 257542056 is about 16048.1168988763. The cubic root of 257542056 is about 636.2327971799.

The spelling of 257542056 in words is "two hundred fifty-seven million, five hundred forty-two thousand, fifty-six".