513985517 has 2 divisors, whose sum is σ = 513985518. Its totient is φ = 513985516.

The previous prime is 513985499. The next prime is 513985523. The reversal of 513985517 is 715589315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351525001 + 162460516 = 18749^2 + 12746^2 .

It is a cyclic number.

It is not a de Polignac number, because 513985517 - 2⁶ = 513985453 is a prime.

It is a super-2 number, since 2×513985517² = 528362223371514578, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513985547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256992758 + 256992759.

It is an arithmetic number, because the mean of its divisors is an integer number (256992759).

Almost surely, 2^513985517 is an apocalyptic number.

It is an amenable number.

513985517 is a deficient number, since it is larger than the sum of its proper divisors (1).

513985517 is an equidigital number, since it uses as much as digits as its factorization.

513985517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 189000, while the sum is 44.

The square root of 513985517 is about 22671.2486863869. The cubic root of 513985517 is about 801.0327895459.

The spelling of 513985517 in words is "five hundred thirteen million, nine hundred eighty-five thousand, five hundred seventeen".