257107441 has 2 divisors, whose sum is σ = 257107442. Its totient is φ = 257107440.

The previous prime is 257107429. The next prime is 257107453. The reversal of 257107441 is 144701752.

It is a balanced prime because it is at equal distance from previous prime (257107429) and next prime (257107453).

It can be written as a sum of positive squares in only one way, i.e., 206640625 + 50466816 = 14375^2 + 7104^2 .

It is a cyclic number.

It is not a de Polignac number, because 257107441 - 2⁷ = 257107313 is a prime.

It is a super-2 number, since 2×257107441² = 132208472435136962, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257107471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128553720 + 128553721.

It is an arithmetic number, because the mean of its divisors is an integer number (128553721).

Almost surely, 2^257107441 is an apocalyptic number.

It is an amenable number.

257107441 is a deficient number, since it is larger than the sum of its proper divisors (1).

257107441 is an equidigital number, since it uses as much as digits as its factorization.

257107441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 257107441 is about 16034.5701844484. The cubic root of 257107441 is about 635.8747041983.

The spelling of 257107441 in words is "two hundred fifty-seven million, one hundred seven thousand, four hundred forty-one".