257420751 has 8 divisors (see below), whose sum is σ = 392260224. Its totient is φ = 147097560.

The previous prime is 257420743. The next prime is 257420753. The reversal of 257420751 is 157024752.

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

It is not a de Polignac number, because 257420751 - 2³ = 257420743 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257420753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6129045 + ... + 6129086.

It is an arithmetic number, because the mean of its divisors is an integer number (49032528).

Almost surely, 2^257420751 is an apocalyptic number.

257420751 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257420751 is a deficient number, since it is larger than the sum of its proper divisors (134839473).

257420751 is a wasteful number, since it uses less digits than its factorization.

257420751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258141.

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 257420751 is about 16044.3370383447. The cubic root of 257420751 is about 636.1328907270.

The spelling of 257420751 in words is "two hundred fifty-seven million, four hundred twenty thousand, seven hundred fifty-one".