513529416 has 128 divisors (see below), whose sum is σ = 1513008000. Its totient is φ = 160932096.

The previous prime is 513529391. The next prime is 513529459. The reversal of 513529416 is 614925315.

513529416 is a `hidden beast` number, since 513 + 52 + 94 + 1 + 6 = 666.

It is a super-2 number, since 2×513529416² = 527424922194602112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643930 + ... + 644726.

It is an arithmetic number, because the mean of its divisors is an integer number (11820375).

Almost surely, 2^513529416 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 513529416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756504000).

513529416 is an abundant number, since it is smaller than the sum of its proper divisors (999478584).

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

513529416 is a wasteful number, since it uses less digits than its factorization.

513529416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 513529416 is about 22661.1874357899. The cubic root of 513529416 is about 800.7957789906.

The spelling of 513529416 in words is "five hundred thirteen million, five hundred twenty-nine thousand, four hundred sixteen".