513400606664 has 64 divisors (see below), whose sum is σ = 1080957320640. Its totient is φ = 226543599360.

The previous prime is 513400606657. The next prime is 513400606721. The reversal of 513400606664 is 466606004315.

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, 1264442 + ... + 1620374.

It is an arithmetic number, because the mean of its divisors is an integer number (16889958135).

Almost surely, 2^513400606664 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 513400606664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540478660320).

513400606664 is an abundant number, since it is smaller than the sum of its proper divisors (567556713976).

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

513400606664 is a wasteful number, since it uses less digits than its factorization.

513400606664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356430 (or 356426 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 513400606664 in words is "five hundred thirteen billion, four hundred million, six hundred six thousand, six hundred sixty-four".