513672432 has 160 divisors (see below), whose sum is σ = 1704557568. Its totient is φ = 129558528.

The previous prime is 513672431. The next prime is 513672463. The reversal of 513672432 is 234276315.

It is a junction number, because it is equal to n+sod(n) for n = 513672393 and 513672402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513672431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97908 + ... + 103020.

Almost surely, 2^513672432 is an apocalyptic number.

513672432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852278784).

513672432 is an abundant number, since it is smaller than the sum of its proper divisors (1190885136).

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

513672432 is a wasteful number, since it uses less digits than its factorization.

513672432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5161 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 513672432 is about 22664.3427436138. The cubic root of 513672432 is about 800.8701116224.

The spelling of 513672432 in words is "five hundred thirteen million, six hundred seventy-two thousand, four hundred thirty-two".