513201262112 has 192 divisors, whose sum is σ = 1334853789696. Its totient is φ = 188034600960.

The previous prime is 513201262087. The next prime is 513201262141. The reversal of 513201262112 is 211262102315.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60607703 + ... + 60616169.

It is an arithmetic number, because the mean of its divisors is an integer number (6952363488).

Almost surely, 2^513201262112 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 513201262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667426894848).

513201262112 is an abundant number, since it is smaller than the sum of its proper divisors (821652527584).

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

513201262112 is a wasteful number, since it uses less digits than its factorization.

513201262112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 513201262112 its reverse (211262102315), we get a palindrome (724463364427).

The spelling of 513201262112 in words is "five hundred thirteen billion, two hundred one million, two hundred sixty-two thousand, one hundred twelve".