2125563561 has 72 divisors (see below), whose sum is σ = 3557369088. Its totient is φ = 1219680000.

The previous prime is 2125563553. The next prime is 2125563581. The reversal of 2125563561 is 1653655212.

2125563561 is a `hidden beast` number, since 2 + 12 + 5 + 5 + 635 + 6 + 1 = 666.

It is not a de Polignac number, because 2125563561 - 2³ = 2125563553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2125563541) 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 71 ways as a sum of consecutive naturals, for example, 2829936 + ... + 2830686.

It is an arithmetic number, because the mean of its divisors is an integer number (49407904).

Almost surely, 2^2125563561 is an apocalyptic number.

It is an amenable number.

2125563561 is a deficient number, since it is larger than the sum of its proper divisors (1431805527).

2125563561 is a wasteful number, since it uses less digits than its factorization.

2125563561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2125563561 is about 46103.8345585267. The cubic root of 2125563561 is about 1285.7544381482.

The spelling of 2125563561 in words is "two billion, one hundred twenty-five million, five hundred sixty-three thousand, five hundred sixty-one".