513173232 has 360 divisors, whose sum is σ = 1784135808. Its totient is φ = 141523200.

The previous prime is 513173173. The next prime is 513173233. The reversal of 513173232 is 232371315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 513173196 and 513173205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513173233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7227757 + ... + 7227827.

Almost surely, 2^513173232 is an apocalyptic number.

513173232 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 513173232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892067904).

513173232 is an abundant number, since it is smaller than the sum of its proper divisors (1270962576).

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

513173232 is a wasteful number, since it uses less digits than its factorization.

513173232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 513173232 is about 22653.3271728459. The cubic root of 513173232 is about 800.6105921862.

The spelling of 513173232 in words is "five hundred thirteen million, one hundred seventy-three thousand, two hundred thirty-two".