257077961 has 48 divisors (see below), whose sum is σ = 343094400. Its totient is φ = 190729728.

The previous prime is 257077949. The next prime is 257077967. The reversal of 257077961 is 169770752.

It is a de Polignac number, because none of the positive numbers 2^k-257077961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257077967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585380 + ... + 585818.

It is an arithmetic number, because the mean of its divisors is an integer number (7147800).

Almost surely, 2^257077961 is an apocalyptic number.

It is an amenable number.

257077961 is a deficient number, since it is larger than the sum of its proper divisors (86016439).

257077961 is a wasteful number, since it uses less digits than its factorization.

257077961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 44.

The square root of 257077961 is about 16033.6508942910. The cubic root of 257077961 is about 635.8504000881.

The spelling of 257077961 in words is "two hundred fifty-seven million, seventy-seven thousand, nine hundred sixty-one".