513212041232000 has 128 divisors (see below), whose sum is σ = 1391971023218880. Its totient is φ = 186622560384000.

The previous prime is 513212041231961. The next prime is 513212041232021. The reversal of 513212041232000 is 232140212315.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1457812754 + ... + 1458164753.

Almost surely, 2^{513212041232000} is an apocalyptic number.

513212041232000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513212041232000 is an abundant number, since it is smaller than the sum of its proper divisors (878758981986880).

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

513212041232000 is a wasteful number, since it uses less digits than its factorization.

513212041232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915977547 (or 2915977525 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 513212041232000 its reverse (232140212315), we get a palindrome (513444181444315).

The spelling of 513212041232000 in words is "five hundred thirteen trillion, two hundred twelve billion, forty-one million, two hundred thirty-two thousand".