5612856561 has 81 divisors (see below), whose sum is σ = 9409137699. Its totient is φ = 3222116352.

The previous prime is 5612856553. The next prime is 5612856563. The reversal of 5612856561 is 1656582165.

The square root of 5612856561 is 74919.

It is a perfect power (a square), and thus also a powerful number.

5612856561 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 85 + 6 + 561 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5604768225 + 8088336 = 74865^2 + 2844^2 .

It is not a de Polignac number, because 5612856561 - 2³ = 5612856553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5612856563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49671241 + ... + 49671353.

Almost surely, 2^5612856561 is an apocalyptic number.

5612856561 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5612856561 is the 74919-th square number.

5612856561 is the 37460-th centered octagonal number.

It is an amenable number.

5612856561 is a deficient number, since it is larger than the sum of its proper divisors (3796281138).

5612856561 is a wasteful number, since it uses less digits than its factorization.

5612856561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The cubic root of 5612856561 is about 1777.1659400580.

The spelling of 5612856561 in words is "five billion, six hundred twelve million, eight hundred fifty-six thousand, five hundred sixty-one".