1561313600 has 672 divisors, whose sum is σ = 5442508800. Its totient is φ = 425779200.

The previous prime is 1561313599. The next prime is 1561313659. The reversal of 1561313600 is 63131651.

It is a self number, because there is not a number n which added to its sum of digits gives 1561313600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53838386 + ... + 53838414.

Almost surely, 2^1561313600 is an apocalyptic number.

1561313600 is a gapful number since it is divisible by the number (10) 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 1561313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721254400).

1561313600 is an abundant number, since it is smaller than the sum of its proper divisors (3881195200).

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

1561313600 is a wasteful number, since it uses less digits than its factorization.

1561313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 1561313600 is about 39513.4609974879. The cubic root of 1561313600 is about 1160.1034390518.

The spelling of 1561313600 in words is "one billion, five hundred sixty-one million, three hundred thirteen thousand, six hundred".