257064961 has 8 divisors (see below), whose sum is σ = 266172480. Its totient is φ = 247973712.

The previous prime is 257064923. The next prime is 257064971. The reversal of 257064961 is 169460752.

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 257064961 - 2⁷ = 257064833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257064911) 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, 34386 + ... + 41188.

It is an arithmetic number, because the mean of its divisors is an integer number (33271560).

It is a Proth number, since it is equal to 7845 ⋅ 2¹⁵ + 1 and 7845 < 2¹⁵.

Almost surely, 2^257064961 is an apocalyptic number.

It is an amenable number.

257064961 is a deficient number, since it is larger than the sum of its proper divisors (9107519).

257064961 is a wasteful number, since it uses less digits than its factorization.

257064961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 257064961 is about 16033.2454917899. The cubic root of 257064961 is about 635.8396819457.

The spelling of 257064961 in words is "two hundred fifty-seven million, sixty-four thousand, nine hundred sixty-one".