513865852632 has 320 divisors, whose sum is σ = 1675647959040. Its totient is φ = 145398758400.

The previous prime is 513865852607. The next prime is 513865852783. The reversal of 513865852632 is 236258568315.

It is a happy number.

513865852632 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 6 + 585 + 26 + 32 = 666.

It is a super-3 number, since 3×513865852632³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15372657 + ... + 15406047.

It is an arithmetic number, because the mean of its divisors is an integer number (5236399872).

Almost surely, 2^513865852632 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 513865852632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837823979520).

513865852632 is an abundant number, since it is smaller than the sum of its proper divisors (1161782106408).

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

513865852632 is a wasteful number, since it uses less digits than its factorization.

513865852632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33564 (or 33551 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 513865852632 in words is "five hundred thirteen billion, eight hundred sixty-five million, eight hundred fifty-two thousand, six hundred thirty-two".