257034891 has 16 divisors (see below), whose sum is σ = 345540384. Its totient is φ = 169949184.

The previous prime is 257034889. The next prime is 257034901. The reversal of 257034891 is 198430752.

It is not a de Polignac number, because 257034891 - 2¹ = 257034889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257034851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322105 + ... + 322901.

It is an arithmetic number, because the mean of its divisors is an integer number (21596274).

Almost surely, 2^257034891 is an apocalyptic number.

257034891 is a deficient number, since it is larger than the sum of its proper divisors (88505493).

257034891 is a wasteful number, since it uses less digits than its factorization.

257034891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 257034891 is about 16032.3077253401. The cubic root of 257034891 is about 635.8148886733.

The spelling of 257034891 in words is "two hundred fifty-seven million, thirty-four thousand, eight hundred ninety-one".