513664155444 has 96 divisors (see below), whose sum is σ = 1349807066496. Its totient is φ = 150663905280.

The previous prime is 513664155409. The next prime is 513664155451. The reversal of 513664155444 is 444551466315.

It is a junction number, because it is equal to n+sod(n) for n = 513664155393 and 513664155402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670144 + ... + 1215080.

It is an arithmetic number, because the mean of its divisors is an integer number (14060490276).

Almost surely, 2^513664155444 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 513664155444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674903533248).

513664155444 is an abundant number, since it is smaller than the sum of its proper divisors (836142911052).

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

513664155444 is a wasteful number, since it uses less digits than its factorization.

513664155444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545185 (or 545183 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 513664155444 in words is "five hundred thirteen billion, six hundred sixty-four million, one hundred fifty-five thousand, four hundred forty-four".