51513224532 has 96 divisors (see below), whose sum is σ = 149921694720. Its totient is φ = 13374251520.

The previous prime is 51513224519. The next prime is 51513224537. The reversal of 51513224532 is 23542231515.

It is a super-2 number, since 2×51513224532² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 51513224493 and 51513224502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51513224537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372188 + ... + 2393804.

It is an arithmetic number, because the mean of its divisors is an integer number (1561684320).

Almost surely, 2^51513224532 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 51513224532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74960847360).

51513224532 is an abundant number, since it is smaller than the sum of its proper divisors (98408470188).

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

51513224532 is a wasteful number, since it uses less digits than its factorization.

51513224532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221 (or 24219 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The spelling of 51513224532 in words is "fifty-one billion, five hundred thirteen million, two hundred twenty-four thousand, five hundred thirty-two".