515864388169 has 9 divisors (see below), whose sum is σ = 558608826933. Its totient is φ = 476173893312.

The previous prime is 515864388167. The next prime is 515864388173. The reversal of 515864388169 is 961883468515.

The square root of 515864388169 is 718237.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18822468025 + 497041920144 = 137195^2 + 705012^2 .

It is not a de Polignac number, because 515864388169 - 2¹ = 515864388167 is a prime.

It is a super-2 number, since 2×515864388169² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 515864388169.

It is not an unprimeable number, because it can be changed into a prime (515864388167) 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, 9309457 + ... + 9364705.

It is an arithmetic number, because the mean of its divisors is an integer number (62067647437).

Almost surely, 2^515864388169 is an apocalyptic number.

515864388169 is the 718237-th square number.

515864388169 is the 359119-th centered octagonal number.

It is an amenable number.

515864388169 is a deficient number, since it is larger than the sum of its proper divisors (42744438764).

515864388169 is an frugal number, since it uses more digits than its factorization.

515864388169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110524 (or 55262 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 64.

Multiplying 515864388169 by its sum of digits (64), we get a square (33015320842816 = 5745896²).

The spelling of 515864388169 in words is "five hundred fifteen billion, eight hundred sixty-four million, three hundred eighty-eight thousand, one hundred sixty-nine".