516331140625 has 14 divisors (see below), whose sum is σ = 645405684014. Its totient is φ = 413064900000.

The previous prime is 516331140613. The next prime is 516331140709. The reversal of 516331140625 is 526041133615.

It can be written as a sum of positive squares in 7 ways, for example, as 447195800529 + 69135340096 = 668727^2 + 262936^2 .

It is not a de Polignac number, because 516331140625 - 2⁵ = 516331140593 is a prime.

It is a super-2 number, since 2×516331140625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 16506972 + ... + 16538221.

It is an arithmetic number, because the mean of its divisors is an integer number (46100406001).

Almost surely, 2^516331140625 is an apocalyptic number.

It is an amenable number.

516331140625 is a deficient number, since it is larger than the sum of its proper divisors (129074543389).

516331140625 is an frugal number, since it uses more digits than its factorization.

516331140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33045223 (or 33045198 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 516331140625 in words is "five hundred sixteen billion, three hundred thirty-one million, one hundred forty thousand, six hundred twenty-five".