513425323031120 has 20 divisors (see below), whose sum is σ = 1193713876047540. Its totient is φ = 205370129212416.

The previous prime is 513425323031087. The next prime is 513425323031177. The reversal of 513425323031120 is 21130323524315.

It can be written as a sum of positive squares in 2 ways, for example, as 57462585446464 + 455962737584656 = 7580408^2 + 21353284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×513425323031120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3208908268865 + ... + 3208908269024.

It is an arithmetic number, because the mean of its divisors is an integer number (59685693802377).

Almost surely, 2^{513425323031120} is an apocalyptic number.

It is an amenable number.

513425323031120 is an abundant number, since it is smaller than the sum of its proper divisors (680288553016420).

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

513425323031120 is a wasteful number, since it uses less digits than its factorization.

513425323031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417816537902 (or 6417816537896 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 513425323031120 its reverse (21130323524315), we get a palindrome (534555646555435).

The spelling of 513425323031120 in words is "five hundred thirteen trillion, four hundred twenty-five billion, three hundred twenty-three million, thirty-one thousand, one hundred twenty".