257546034 has 32 divisors (see below), whose sum is σ = 572880000. Its totient is φ = 85765392.

The previous prime is 257546021. The next prime is 257546063. The reversal of 257546034 is 430645752.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257546034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82107 + ... + 85185.

It is an arithmetic number, because the mean of its divisors is an integer number (17902500).

Almost surely, 2^257546034 is an apocalyptic number.

257546034 is an abundant number, since it is smaller than the sum of its proper divisors (315333966).

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

257546034 is a wasteful number, since it uses less digits than its factorization.

257546034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4633 counting only the distinct ones).

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

The square root of 257546034 is about 16048.2408381729. The cubic root of 257546034 is about 636.2360729181.

The spelling of 257546034 in words is "two hundred fifty-seven million, five hundred forty-six thousand, thirty-four".