1561066752 has 576 divisors, whose sum is σ = 5651251200. Its totient is φ = 371589120.

The previous prime is 1561066729. The next prime is 1561066777. The reversal of 1561066752 is 2576601651.

It is a self number, because there is not a number n which added to its sum of digits gives 1561066752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50356977 + ... + 50357007.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2^1561066752 is an apocalyptic number.

1561066752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825625600).

1561066752 is an abundant number, since it is smaller than the sum of its proper divisors (4090184448).

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

1561066752 is a wasteful number, since it uses less digits than its factorization.

1561066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 1561066752 is about 39510.3372802612. The cubic root of 1561066752 is about 1160.0422973083.

The spelling of 1561066752 in words is "one billion, five hundred sixty-one million, sixty-six thousand, seven hundred fifty-two".