257152561 has 2 divisors, whose sum is σ = 257152562. Its totient is φ = 257152560.

The previous prime is 257152559. The next prime is 257152579. The reversal of 257152561 is 165251752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171479025 + 85673536 = 13095^2 + 9256^2 .

It is a cyclic number.

It is not a de Polignac number, because 257152561 - 2¹ = 257152559 is a prime.

It is a super-2 number, since 2×257152561² = 132254879257717442, which contains 22 as substring.

Together with 257152559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (257152531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128576280 + 128576281.

It is an arithmetic number, because the mean of its divisors is an integer number (128576281).

Almost surely, 2^257152561 is an apocalyptic number.

It is an amenable number.

257152561 is a deficient number, since it is larger than the sum of its proper divisors (1).

257152561 is an equidigital number, since it uses as much as digits as its factorization.

257152561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21000, while the sum is 34.

The square root of 257152561 is about 16035.9770827973. The cubic root of 257152561 is about 635.9118987506.

The spelling of 257152561 in words is "two hundred fifty-seven million, one hundred fifty-two thousand, five hundred sixty-one".