513330513000 has 128 divisors (see below), whose sum is σ = 1601836179840. Its totient is φ = 136867200000.

The previous prime is 513330512983. The next prime is 513330513043. The reversal of 513330513000 is 315033315.

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

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, 38156275 + ... + 38169725.

It is an arithmetic number, because the mean of its divisors is an integer number (12514345155).

Almost surely, 2^513330513000 is an apocalyptic number.

513330513000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513330513000 is an abundant number, since it is smaller than the sum of its proper divisors (1088505666840).

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

513330513000 is a wasteful number, since it uses less digits than its factorization.

513330513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26196 (or 26182 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 24.

Adding to 513330513000 its reverse (315033315), we get a palindrome (513645546315).

The spelling of 513330513000 in words is "five hundred thirteen billion, three hundred thirty million, five hundred thirteen thousand".