257312261 has 8 divisors (see below), whose sum is σ = 260510400. Its totient is φ = 254121120.

The previous prime is 257312257. The next prime is 257312281. The reversal of 257312261 is 162213752.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 257312261 - 2² = 257312257 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257312281) 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 7 ways as a sum of consecutive naturals, for example, 139616 + ... + 141446.

It is an arithmetic number, because the mean of its divisors is an integer number (32563800).

Almost surely, 2^257312261 is an apocalyptic number.

It is an amenable number.

257312261 is a deficient number, since it is larger than the sum of its proper divisors (3198139).

257312261 is a wasteful number, since it uses less digits than its factorization.

257312261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499.

The product of its digits is 5040, while the sum is 29.

The square root of 257312261 is about 16040.9557383592. The cubic root of 257312261 is about 636.0435120805.

The spelling of 257312261 in words is "two hundred fifty-seven million, three hundred twelve thousand, two hundred sixty-one".