513360557 has 2 divisors, whose sum is σ = 513360558. Its totient is φ = 513360556.

The previous prime is 513360541. The next prime is 513360559. The reversal of 513360557 is 755063315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429069796 + 84290761 = 20714^2 + 9181^2 .

It is a cyclic number.

It is not a de Polignac number, because 513360557 - 2⁴ = 513360541 is a prime.

It is a super-2 number, since 2×513360557² = 527078122966700498, which contains 22 as substring.

Together with 513360559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513360559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256680278 + 256680279.

It is an arithmetic number, because the mean of its divisors is an integer number (256680279).

Almost surely, 2^513360557 is an apocalyptic number.

It is an amenable number.

513360557 is a deficient number, since it is larger than the sum of its proper divisors (1).

513360557 is an equidigital number, since it uses as much as digits as its factorization.

513360557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47250, while the sum is 35.

The square root of 513360557 is about 22657.4613979590. The cubic root of 513360557 is about 800.7079966785.

The spelling of 513360557 in words is "five hundred thirteen million, three hundred sixty thousand, five hundred fifty-seven".