257260431 has 8 divisors (see below), whose sum is σ = 343118464. Its totient is φ = 171454680.

The previous prime is 257260427. The next prime is 257260441. The reversal of 257260431 is 134062752.

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

It is not a de Polignac number, because 257260431 - 2² = 257260427 is a prime.

It is a super-2 number, since 2×257260431² = 132365858716611522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257260441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396 + ... + 22686.

It is an arithmetic number, because the mean of its divisors is an integer number (42889808).

Almost surely, 2^257260431 is an apocalyptic number.

257260431 is a deficient number, since it is larger than the sum of its proper divisors (85858033).

257260431 is a wasteful number, since it uses less digits than its factorization.

257260431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26141.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 257260431 is about 16039.3401048796. The cubic root of 257260431 is about 636.0008034680. Note that the first 3 decimals are identical.

The spelling of 257260431 in words is "two hundred fifty-seven million, two hundred sixty thousand, four hundred thirty-one".