513262160400 has 120 divisors (see below), whose sum is σ = 1793617995744. Its totient is φ = 124427187200.

The previous prime is 513262160393. The next prime is 513262160401. The reversal of 513262160400 is 4061262315.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (513262160401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19428549 + ... + 19454948.

Almost surely, 2^513262160400 is an apocalyptic number.

513262160400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513262160400 is an abundant number, since it is smaller than the sum of its proper divisors (1280355835344).

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

513262160400 is a wasteful number, since it uses less digits than its factorization.

513262160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38883529 (or 38883518 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 513262160400 in words is "five hundred thirteen billion, two hundred sixty-two million, one hundred sixty thousand, four hundred".