257305961 has 8 divisors (see below), whose sum is σ = 295471200. Its totient is φ = 221603040.

The previous prime is 257305957. The next prime is 257305967. The reversal of 257305961 is 169503752.

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 257305961 - 2² = 257305957 is a prime.

It is a super-2 number, since 2×257305961² = 132412715132267042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257305967) 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, 615356 + ... + 615773.

It is an arithmetic number, because the mean of its divisors is an integer number (36933900).

Almost surely, 2^257305961 is an apocalyptic number.

It is an amenable number.

257305961 is a deficient number, since it is larger than the sum of its proper divisors (38165239).

257305961 is a wasteful number, since it uses less digits than its factorization.

257305961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231159.

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 257305961 is about 16040.7593648181. The cubic root of 257305961 is about 636.0383211025.

The spelling of 257305961 in words is "two hundred fifty-seven million, three hundred five thousand, nine hundred sixty-one".