1561365936 has 160 divisors (see below), whose sum is σ = 4944891840. Its totient is φ = 468633600.

The previous prime is 1561365929. The next prime is 1561365941. The reversal of 1561365936 is 6395631651.

1561365936 is a `hidden beast` number, since 1 + 56 + 1 + 3 + 6 + 593 + 6 = 666.

It is a super-2 number, since 2×1561365936² = 4875727172202312192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1561365891 and 1561365900.

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 31 ways as a sum of consecutive naturals, for example, 226866 + ... + 233646.

It is an arithmetic number, because the mean of its divisors is an integer number (30905574).

Almost surely, 2^1561365936 is an apocalyptic number.

1561365936 is a gapful number since it is divisible by the number (16) 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 1561365936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472445920).

1561365936 is an abundant number, since it is smaller than the sum of its proper divisors (3383525904).

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

1561365936 is a wasteful number, since it uses less digits than its factorization.

1561365936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6840 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 1561365936 is about 39514.1232472644. The cubic root of 1561365936 is about 1160.1164013196.

The spelling of 1561365936 in words is "one billion, five hundred sixty-one million, three hundred sixty-five thousand, nine hundred thirty-six".