513465871000000 has 196 divisors, whose sum is σ = 1273736645181000. Its totient is φ = 205367497600000.

The previous prime is 513465870999971. The next prime is 513465871000141. The reversal of 513465871000000 is 178564315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17098984986 + ... + 17099015014.

Almost surely, 2^{513465871000000} is an apocalyptic number.

513465871000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513465871000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636868322590500).

513465871000000 is an abundant number, since it is smaller than the sum of its proper divisors (760270774181000).

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

513465871000000 is an frugal number, since it uses more digits than its factorization.

513465871000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47170 (or 47135 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 513465871000000 in words is "five hundred thirteen trillion, four hundred sixty-five billion, eight hundred seventy-one million", and thus it is an aban number.