513225544600 has 48 divisors (see below), whose sum is σ = 1197557280000. Its totient is φ = 204549075840.

The previous prime is 513225544591. The next prime is 513225544613. The reversal of 513225544600 is 6445522315.

It is a self number, because there is not a number n which added to its sum of digits gives 513225544600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4576600 + ... + 4687399.

It is an arithmetic number, because the mean of its divisors is an integer number (24949110000).

Almost surely, 2^513225544600 is an apocalyptic number.

513225544600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513225544600 is an abundant number, since it is smaller than the sum of its proper divisors (684331735400).

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

513225544600 is a wasteful number, since it uses less digits than its factorization.

513225544600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264292 (or 9264283 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 513225544600 in words is "five hundred thirteen billion, two hundred twenty-five million, five hundred forty-four thousand, six hundred".