513204165216 has 36 divisors (see below), whose sum is σ = 1459424345652. Its totient is φ = 171068054976.

The previous prime is 513204165169. The next prime is 513204165217. The reversal of 513204165216 is 612561402315.

513204165216 is a `hidden beast` number, since 5 + 1 + 3 + 20 + 416 + 5 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513204165217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 890979166 + ... + 890979741.

It is an arithmetic number, because the mean of its divisors is an integer number (40539565157).

Almost surely, 2^513204165216 is an apocalyptic number.

It is an amenable number.

513204165216 is an abundant number, since it is smaller than the sum of its proper divisors (946220180436).

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

513204165216 is a wasteful number, since it uses less digits than its factorization.

513204165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781958923 (or 1781958912 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 513204165216 in words is "five hundred thirteen billion, two hundred four million, one hundred sixty-five thousand, two hundred sixteen".