657717253 has 2 divisors, whose sum is σ = 657717254. Its totient is φ = 657717252.

The previous prime is 657717251. The next prime is 657717259. The reversal of 657717253 is 352717756.

657717253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 519019524 + 138697729 = 22782^2 + 11777^2 .

It is a cyclic number.

It is not a de Polignac number, because 657717253 - 2¹ = 657717251 is a prime.

Together with 657717251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657717251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328858626 + 328858627.

It is an arithmetic number, because the mean of its divisors is an integer number (328858627).

Almost surely, 2^657717253 is an apocalyptic number.

It is an amenable number.

657717253 is a deficient number, since it is larger than the sum of its proper divisors (1).

657717253 is an equidigital number, since it uses as much as digits as its factorization.

657717253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 308700, while the sum is 43.

The square root of 657717253 is about 25645.9987717383. The cubic root of 657717253 is about 869.6538249291.

The spelling of 657717253 in words is "six hundred fifty-seven million, seven hundred seventeen thousand, two hundred fifty-three".