513242304000 has 160 divisors (see below), whose sum is σ = 1706402988576. Its totient is φ = 136864563200.

The previous prime is 513242303879. The next prime is 513242304023. The reversal of 513242304000 is 403242315.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

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, 1144569 + ... + 1528568.

Almost surely, 2^513242304000 is an apocalyptic number.

513242304000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513242304000 is an abundant number, since it is smaller than the sum of its proper divisors (1193160684576).

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

513242304000 is an equidigital number, since it uses as much as digits as its factorization.

513242304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673173 (or 2673147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 513242304000 its reverse (403242315), we get a palindrome (513645546315).

The spelling of 513242304000 in words is "five hundred thirteen billion, two hundred forty-two million, three hundred four thousand".