516459259801 has 9 divisors (see below), whose sum is σ = 530822200671. Its totient is φ = 502475029992.

The previous prime is 516459259793. The next prime is 516459259807. The reversal of 516459259801 is 108952954615.

The square root of 516459259801 is 718651.

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

It can be written as a sum of positive squares in only one way, i.e., 462134838025 + 54324421776 = 679805^2 + 233076^2 .

It is not a de Polignac number, because 516459259801 - 2³ = 516459259793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516459259807) 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, 26580376 + ... + 26599798.

It is an arithmetic number, because the mean of its divisors is an integer number (58980244519).

Almost surely, 2^516459259801 is an apocalyptic number.

516459259801 is the 718651-st square number.

516459259801 is the 359326-th centered octagonal number.

It is an amenable number.

516459259801 is a deficient number, since it is larger than the sum of its proper divisors (14362940870).

516459259801 is an frugal number, since it uses more digits than its factorization.

516459259801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38920 (or 19460 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 516459259801 in words is "five hundred sixteen billion, four hundred fifty-nine million, two hundred fifty-nine thousand, eight hundred one".