257264121 has 8 divisors (see below), whose sum is σ = 348138784. Its totient is φ = 168949440.

The previous prime is 257264113. The next prime is 257264143. The reversal of 257264121 is 121462752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257264121 - 2³ = 257264113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257264171) 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 7 ways as a sum of consecutive naturals, for example, 639760 + ... + 640161.

It is an arithmetic number, because the mean of its divisors is an integer number (43517348).

Almost surely, 2^257264121 is an apocalyptic number.

It is an amenable number.

257264121 is a deficient number, since it is larger than the sum of its proper divisors (90874663).

257264121 is a wasteful number, since it uses less digits than its factorization.

257264121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279991.

The product of its digits is 6720, while the sum is 30.

The square root of 257264121 is about 16039.4551341372. The cubic root of 257264121 is about 636.0038442669.

The spelling of 257264121 in words is "two hundred fifty-seven million, two hundred sixty-four thousand, one hundred twenty-one".