517164961 has 2 divisors, whose sum is σ = 517164962. Its totient is φ = 517164960.

The previous prime is 517164943. The next prime is 517165001. The reversal of 517164961 is 169461715.

517164961 = 16080² + 16081².

It is an a-pointer prime, because the next prime (517165001) can be obtained adding 517164961 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258598561 + 258566400 = 16081^2 + 16080^2 .

It is a cyclic number.

It is not a de Polignac number, because 517164961 - 2⁹ = 517164449 is a prime.

It is a super-2 number, since 2×517164961² = 534919193772263042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (517164911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258582480 + 258582481.

It is an arithmetic number, because the mean of its divisors is an integer number (258582481).

Almost surely, 2^517164961 is an apocalyptic number.

517164961 is the 16081-st centered square number.

It is an amenable number.

517164961 is a deficient number, since it is larger than the sum of its proper divisors (1).

517164961 is an equidigital number, since it uses as much as digits as its factorization.

517164961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 40.

The square root of 517164961 is about 22741.2612007338. The cubic root of 517164961 is about 802.6810885219.

The spelling of 517164961 in words is "five hundred seventeen million, one hundred sixty-four thousand, nine hundred sixty-one".