5652117016512 has 112 divisors (see below), whose sum is σ = 15017478260640. Its totient is φ = 1876116897792.

The previous prime is 5652117016499. The next prime is 5652117016577. The reversal of 5652117016512 is 2156107112565.

It is a happy number.

It is a super-2 number, since 2×5652117016512² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 173526564 + ... + 173559132.

Almost surely, 2^{5652117016512} 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 5652117016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508739130320).

5652117016512 is an abundant number, since it is smaller than the sum of its proper divisors (9365361244128).

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

5652117016512 is a wasteful number, since it uses less digits than its factorization.

5652117016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36358 (or 36348 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 5652117016512 in words is "five trillion, six hundred fifty-two billion, one hundred seventeen million, sixteen thousand, five hundred twelve".