513308976 has 80 divisors (see below), whose sum is σ = 1354449024. Its totient is φ = 167473152.

The previous prime is 513308953. The next prime is 513308987. The reversal of 513308976 is 679803315.

It is a super-2 number, since 2×513308976² = 526972209684337152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620275 + ... + 621101.

Almost surely, 2^513308976 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 513308976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677224512).

513308976 is an abundant number, since it is smaller than the sum of its proper divisors (841140048).

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

513308976 is a wasteful number, since it uses less digits than its factorization.

513308976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 513308976 is about 22656.3230909166. The cubic root of 513308976 is about 800.6811781641.

It can be divided in two parts, 51330 and 8976, that added together give a palindrome (60306).

The spelling of 513308976 in words is "five hundred thirteen million, three hundred eight thousand, nine hundred seventy-six".