257532642 has 32 divisors (see below), whose sum is σ = 573068160. Its totient is φ = 85728240.

The previous prime is 257532641. The next prime is 257532659. The reversal of 257532642 is 246235752.

257532642 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 3 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 257532597 and 257532606.

It is not an unprimeable number, because it can be changed into a prime (257532641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43267 + ... + 48857.

It is an arithmetic number, because the mean of its divisors is an integer number (17908380).

Almost surely, 2^257532642 is an apocalyptic number.

257532642 is an abundant number, since it is smaller than the sum of its proper divisors (315535518).

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

257532642 is a wasteful number, since it uses less digits than its factorization.

257532642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6449 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 257532642 is about 16047.8235907552. The cubic root of 257532642 is about 636.2250449592.

The spelling of 257532642 in words is "two hundred fifty-seven million, five hundred thirty-two thousand, six hundred forty-two".