513479232000 has 1920 divisors, whose sum is σ = 2270490393600. Its totient is φ = 111270297600.

The previous prime is 513479231959. The next prime is 513479232001. The reversal of 513479232000 is 232974315.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513479232001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4544063944 + ... + 4544064056.

It is an arithmetic number, because the mean of its divisors is an integer number (1182547080).

Almost surely, 2^513479232000 is an apocalyptic number.

513479232000 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 513479232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135245196800).

513479232000 is an abundant number, since it is smaller than the sum of its proper divisors (1757011161600).

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

513479232000 is a wasteful number, since it uses less digits than its factorization.

513479232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 513479232000 in words is "five hundred thirteen billion, four hundred seventy-nine million, two hundred thirty-two thousand".