257601051 has 12 divisors (see below), whose sum is σ = 393978312. Its totient is φ = 161631936.

The previous prime is 257601037. The next prime is 257601079. The reversal of 257601051 is 150106752.

257601051 is a `hidden beast` number, since 2 + 5 + 7 + 601 + 0 + 51 = 666.

It is not a de Polignac number, because 257601051 - 2¹³ = 257592859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257600051) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 841681 + ... + 841986.

It is an arithmetic number, because the mean of its divisors is an integer number (32831526).

Almost surely, 2^257601051 is an apocalyptic number.

257601051 is a deficient number, since it is larger than the sum of its proper divisors (136377261).

257601051 is a wasteful number, since it uses less digits than its factorization.

257601051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683690 (or 1683687 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 257601051 is about 16049.9548597496. The cubic root of 257601051 is about 636.2813739558.

The spelling of 257601051 in words is "two hundred fifty-seven million, six hundred one thousand, fifty-one".