513051308176 has 135 divisors (see below), whose sum is σ = 1112781451257. Its totient is φ = 228979111680.

The previous prime is 513051308171. The next prime is 513051308219. The reversal of 513051308176 is 671803150315.

The square root of 513051308176 is 716276.

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., 291232915600 + 221818392576 = 539660^2 + 470976^2 .

It is a super-2 number, since 2×513051308176² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513051308171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2300678401 + ... + 2300678623.

Almost surely, 2^513051308176 is an apocalyptic number.

513051308176 is the 716276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513051308176

513051308176 is an abundant number, since it is smaller than the sum of its proper divisors (599730143081).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513051308176 is an equidigital number, since it uses as much as digits as its factorization.

513051308176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 513051308176 in words is "five hundred thirteen billion, fifty-one million, three hundred eight thousand, one hundred seventy-six".