315516557 has 2 divisors, whose sum is σ = 315516558. Its totient is φ = 315516556.

The previous prime is 315516541. The next prime is 315516559. The reversal of 315516557 is 755615513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178649956 + 136866601 = 13366^2 + 11699^2 .

It is an emirp because it is prime and its reverse (755615513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 315516557 - 2⁴ = 315516541 is a prime.

It is a super-2 number, since 2×315516557² = 199101395482268498, which contains 22 as substring.

Together with 315516559, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315516557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315516559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157758278 + 157758279.

It is an arithmetic number, because the mean of its divisors is an integer number (157758279).

Almost surely, 2^315516557 is an apocalyptic number.

It is an amenable number.

315516557 is a deficient number, since it is larger than the sum of its proper divisors (1).

315516557 is an equidigital number, since it uses as much as digits as its factorization.

315516557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 78750, while the sum is 38.

The square root of 315516557 is about 17762.7857330994. The cubic root of 315516557 is about 680.7809345529.

The spelling of 315516557 in words is "three hundred fifteen million, five hundred sixteen thousand, five hundred fifty-seven".