513432696 has 64 divisors (see below), whose sum is σ = 1468915200. Its totient is φ = 146498688.

The previous prime is 513432641. The next prime is 513432697. The reversal of 513432696 is 696234315.

It is a super-2 number, since 2×513432696² = 527226266643656832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513432697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163590 + ... + 166698.

It is an arithmetic number, because the mean of its divisors is an integer number (22951800).

Almost surely, 2^513432696 is an apocalyptic number.

513432696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513432696 is an abundant number, since it is smaller than the sum of its proper divisors (955482504).

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

513432696 is a wasteful number, since it uses less digits than its factorization.

513432696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4104 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 513432696 is about 22659.0532900207. The cubic root of 513432696 is about 800.7455009030.

The spelling of 513432696 in words is "five hundred thirteen million, four hundred thirty-two thousand, six hundred ninety-six".