513032130432 has 128 divisors (see below), whose sum is σ = 1523803255200. Its totient is φ = 169921290240.

The previous prime is 513032130409. The next prime is 513032130433. The reversal of 513032130432 is 234031230315.

513032130432 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 321 + 304 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 513032130396 and 513032130405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513032130433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69832 + ... + 1015352.

Almost surely, 2^513032130432 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 513032130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761901627600).

513032130432 is an abundant number, since it is smaller than the sum of its proper divisors (1010771124768).

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

513032130432 is a wasteful number, since it uses less digits than its factorization.

513032130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945701 (or 945683 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 513032130432 its reverse (234031230315), we get a palindrome (747063360747).

The spelling of 513032130432 in words is "five hundred thirteen billion, thirty-two million, one hundred thirty thousand, four hundred thirty-two".