513666062304 has 96 divisors (see below), whose sum is σ = 1382564000160. Its totient is φ = 166888243200.

The previous prime is 513666062293. The next prime is 513666062323. The reversal of 513666062304 is 403260666315.

It is a happy number.

513666062304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 4146544 + ... + 4268624.

It is an arithmetic number, because the mean of its divisors is an integer number (14401708335).

Almost surely, 2^513666062304 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 513666062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691282000080).

513666062304 is an abundant number, since it is smaller than the sum of its proper divisors (868897937856).

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

513666062304 is a wasteful number, since it uses less digits than its factorization.

513666062304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123204 (or 123196 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 513666062304 in words is "five hundred thirteen billion, six hundred sixty-six million, sixty-two thousand, three hundred four".