513149723840 has 112 divisors (see below), whose sum is σ = 1318575468000. Its totient is φ = 189090201600.

The previous prime is 513149723839. The next prime is 513149723861. The reversal of 513149723840 is 48327941315.

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, 1952240 + ... + 2199440.

It is an arithmetic number, because the mean of its divisors is an integer number (11772995250).

Almost surely, 2^513149723840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513149723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659287734000).

513149723840 is an abundant number, since it is smaller than the sum of its proper divisors (805425744160).

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

513149723840 is a wasteful number, since it uses less digits than its factorization.

513149723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247730 (or 247720 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 513149723840 in words is "five hundred thirteen billion, one hundred forty-nine million, seven hundred twenty-three thousand, eight hundred forty".