561132117 has 80 divisors (see below), whose sum is σ = 1039167360. Its totient is φ = 293839488.

The previous prime is 561132113. The next prime is 561132137. The reversal of 561132117 is 711231165.

561132117 is a `hidden beast` number, since 5 + 611 + 32 + 1 + 17 = 666.

It is not a de Polignac number, because 561132117 - 2² = 561132113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561132113) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1982658 + ... + 1982940.

It is an arithmetic number, because the mean of its divisors is an integer number (12989592).

Almost surely, 2^561132117 is an apocalyptic number.

It is an amenable number.

561132117 is a deficient number, since it is larger than the sum of its proper divisors (478035243).

561132117 is a wasteful number, since it uses less digits than its factorization.

561132117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 561132117 is about 23688.2273925256. The cubic root of 561132117 is about 824.8121357363.

The spelling of 561132117 in words is "five hundred sixty-one million, one hundred thirty-two thousand, one hundred seventeen".