1561314600 has 72 divisors (see below), whose sum is σ = 5243420910. Its totient is φ = 416350080.

The previous prime is 1561314553. The next prime is 1561314611. The reversal of 1561314600 is 64131651.

1561314600 is a `hidden beast` number, since 1 + 5 + 613 + 1 + 46 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1491658884 + 69655716 = 38622^2 + 8346^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 431899 + ... + 435498.

Almost surely, 2^1561314600 is an apocalyptic number.

1561314600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1561314600 is an abundant number, since it is smaller than the sum of its proper divisors (3682106310).

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

1561314600 is a wasteful number, since it uses less digits than its factorization.

1561314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867419 (or 867407 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1561314600 is about 39513.4736514015. The cubic root of 1561314600 is about 1160.1036867285.

The spelling of 1561314600 in words is "one billion, five hundred sixty-one million, three hundred fourteen thousand, six hundred".