1025567657 has 2 divisors, whose sum is σ = 1025567658. Its totient is φ = 1025567656.

The previous prime is 1025567633. The next prime is 1025567659. The reversal of 1025567657 is 7567655201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 530104576 + 495463081 = 23024^2 + 22259^2 .

It is a cyclic number.

It is not a de Polignac number, because 1025567657 - 2²⁰ = 1024519081 is a prime.

Together with 1025567659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1025567659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512783828 + 512783829.

It is an arithmetic number, because the mean of its divisors is an integer number (512783829).

Almost surely, 2^1025567657 is an apocalyptic number.

It is an amenable number.

1025567657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1025567657 is an equidigital number, since it uses as much as digits as its factorization.

1025567657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441000, while the sum is 44.

The square root of 1025567657 is about 32024.4852729907. The cubic root of 1025567657 is about 1008.4509328831.

The spelling of 1025567657 in words is "one billion, twenty-five million, five hundred sixty-seven thousand, six hundred fifty-seven".