1005656000552 has 72 divisors (see below), whose sum is σ = 2197669675950. Its totient is φ = 430169620608.

The previous prime is 1005656000549. The next prime is 1005656000579. The reversal of 1005656000552 is 2550006565001.

It can be written as a sum of positive squares in 3 ways, for example, as 658412153476 + 347243847076 = 811426^2 + 589274^2 .

It is a super-2 number, since 2×1005656000552² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121613474 + ... + 121621742.

Almost surely, 2^{1005656000552} 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 1005656000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098834837975).

1005656000552 is an abundant number, since it is smaller than the sum of its proper divisors (1192013675398).

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

1005656000552 is an frugal number, since it uses more digits than its factorization.

1005656000552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9403 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 1005656000552 in words is "one trillion, five billion, six hundred fifty-six million, five hundred fifty-two", and thus it is an aban number.