561580167 has 16 divisors (see below), whose sum is σ = 792039168. Its totient is φ = 353200320.

The previous prime is 561580147. The next prime is 561580171. The reversal of 561580167 is 761085165.

It is not a de Polignac number, because 561580167 - 2²² = 557385863 is a prime.

It is a super-3 number, since 3×561580167³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561580127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50709 + ... + 60782.

It is an arithmetic number, because the mean of its divisors is an integer number (49502448).

Almost surely, 2^561580167 is an apocalyptic number.

561580167 is a deficient number, since it is larger than the sum of its proper divisors (230459001).

561580167 is a wasteful number, since it uses less digits than its factorization.

561580167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111590.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 561580167 is about 23697.6827348161. The cubic root of 561580167 is about 825.0316079717.

The spelling of 561580167 in words is "five hundred sixty-one million, five hundred eighty thousand, one hundred sixty-seven".