552352052032 has 112 divisors (see below), whose sum is σ = 1208204766720. Its totient is φ = 250526453760.

The previous prime is 552352052023. The next prime is 552352052051. The reversal of 552352052032 is 230250253255.

It is a super-3 number, since 3×552352052032³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 40796368 + ... + 40809904.

It is an arithmetic number, because the mean of its divisors is an integer number (10787542560).

Almost surely, 2^552352052032 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 552352052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604102383360).

552352052032 is an abundant number, since it is smaller than the sum of its proper divisors (655852714688).

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

552352052032 is a wasteful number, since it uses less digits than its factorization.

552352052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 34.

The spelling of 552352052032 in words is "five hundred fifty-two billion, three hundred fifty-two million, fifty-two thousand, thirty-two".