513022052000 has 96 divisors (see below), whose sum is σ = 1260809432064. Its totient is φ = 205157664000.

The previous prime is 513022051999. The next prime is 513022052017. The reversal of 513022052000 is 250220315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18798365 + ... + 18825635.

It is an arithmetic number, because the mean of its divisors is an integer number (13133431584).

Almost surely, 2^513022052000 is an apocalyptic number.

513022052000 is a gapful number since it is divisible by the number (50) 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 513022052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630404716032).

513022052000 is an abundant number, since it is smaller than the sum of its proper divisors (747787380064).

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

513022052000 is a wasteful number, since it uses less digits than its factorization.

513022052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31999 (or 31981 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 513022052000 its reverse (250220315), we get a palindrome (513272272315).

The spelling of 513022052000 in words is "five hundred thirteen billion, twenty-two million, fifty-two thousand".