513004032 has 120 divisors (see below), whose sum is σ = 1491828624. Its totient is φ = 169703424.

The previous prime is 513004021. The next prime is 513004049. The reversal of 513004032 is 230400315.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 513003996 and 513004014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750763 + ... + 751445.

Almost surely, 2^513004032 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 513004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745914312).

513004032 is an abundant number, since it is smaller than the sum of its proper divisors (978824592).

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

513004032 is a wasteful number, since it uses less digits than its factorization.

513004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 513004032 is about 22649.5923142118. The cubic root of 513004032 is about 800.5225918812.

Adding to 513004032 its reverse (230400315), we get a palindrome (743404347).

The spelling of 513004032 in words is "five hundred thirteen million, four thousand, thirty-two".