513125676 has 144 divisors (see below), whose sum is σ = 1557663744. Its totient is φ = 139252608.

The previous prime is 513125663. The next prime is 513125677. The reversal of 513125676 is 676521315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513125676.

It is not an unprimeable number, because it can be changed into a prime (513125677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292310 + ... + 1292706.

Almost surely, 2^513125676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513125676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778831872).

513125676 is an abundant number, since it is smaller than the sum of its proper divisors (1044538068).

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

513125676 is a wasteful number, since it uses less digits than its factorization.

513125676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 655 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 513125676 is about 22652.2775013905. The cubic root of 513125676 is about 800.5858604380.

The spelling of 513125676 in words is "five hundred thirteen million, one hundred twenty-five thousand, six hundred seventy-six".