513214832 has 40 divisors (see below), whose sum is σ = 1074399984. Its totient is φ = 236081664.

The previous prime is 513214829. The next prime is 513214843. The reversal of 513214832 is 238412315.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 513214795 and 513214804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61163 + ... + 69045.

Almost surely, 2^513214832 is an apocalyptic number.

513214832 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 513214832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537199992).

513214832 is an abundant number, since it is smaller than the sum of its proper divisors (561185152).

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

513214832 is a wasteful number, since it uses less digits than its factorization.

513214832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8217 (or 8211 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 513214832 is about 22654.2453416573. The cubic root of 513214832 is about 800.6322252325.

The spelling of 513214832 in words is "five hundred thirteen million, two hundred fourteen thousand, eight hundred thirty-two".