517013957 has 2 divisors, whose sum is σ = 517013958. Its totient is φ = 517013956.

The previous prime is 517013951. The next prime is 517013963. The reversal of 517013957 is 759310715.

It is a balanced prime because it is at equal distance from previous prime (517013951) and next prime (517013963).

It can be written as a sum of positive squares in only one way, i.e., 353966596 + 163047361 = 18814^2 + 12769^2 .

It is a cyclic number.

It is not a de Polignac number, because 517013957 - 2²⁴ = 500236741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 517013957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517013951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258506978 + 258506979.

It is an arithmetic number, because the mean of its divisors is an integer number (258506979).

Almost surely, 2^517013957 is an apocalyptic number.

It is an amenable number.

517013957 is a deficient number, since it is larger than the sum of its proper divisors (1).

517013957 is an equidigital number, since it uses as much as digits as its factorization.

517013957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33075, while the sum is 38.

The square root of 517013957 is about 22737.9409138119. The cubic root of 517013957 is about 802.6029575173.

The spelling of 517013957 in words is "five hundred seventeen million, thirteen thousand, nine hundred fifty-seven".