516152961 has 9 divisors (see below), whose sum is σ = 745652739. Its totient is φ = 344056536.

The previous prime is 516152953. The next prime is 516152983. The reversal of 516152961 is 169251615.

The square root of 516152961 is 22719.

It is a perfect power (a square), and thus also a powerful number.

516152961 is a `hidden beast` number, since 516 + 1 + 52 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 515063025 + 1089936 = 22695^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 516152961 - 2³ = 516152953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516152911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64371 + ... + 71943.

Almost surely, 2^516152961 is an apocalyptic number.

516152961 is the 22719-th square number.

516152961 is the 11360-th centered octagonal number.

It is an amenable number.

516152961 is a deficient number, since it is larger than the sum of its proper divisors (229499778).

516152961 is an frugal number, since it uses more digits than its factorization.

516152961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15152 (or 7576 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The cubic root of 516152961 is about 802.1571785186.

Multiplying 516152961 by its sum of digits (36), we get a square (18581506596 = 136314²).

The spelling of 516152961 in words is "five hundred sixteen million, one hundred fifty-two thousand, nine hundred sixty-one".