513210260112 has 160 divisors (see below), whose sum is σ = 1451127121920. Its totient is φ = 155002383360.

The previous prime is 513210260107. The next prime is 513210260159. The reversal of 513210260112 is 211062012315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 319358413 + ... + 319360019.

It is an arithmetic number, because the mean of its divisors is an integer number (9069544512).

Almost surely, 2^513210260112 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 513210260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725563560960).

513210260112 is an abundant number, since it is smaller than the sum of its proper divisors (937916861808).

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

513210260112 is a wasteful number, since it uses less digits than its factorization.

513210260112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 513210260112 its reverse (211062012315), we get a palindrome (724272272427).

The spelling of 513210260112 in words is "five hundred thirteen billion, two hundred ten million, two hundred sixty thousand, one hundred twelve".