42561563265 has 64 divisors (see below), whose sum is σ = 82080633600. Its totient is φ = 20800323072.

The previous prime is 42561563221. The next prime is 42561563299. The reversal of 42561563265 is 56236516524.

42561563265 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 1 + 5 + 632 + 6 + 5 = 666.

It is not a de Polignac number, because 42561563265 - 2²⁸ = 42293127809 is a prime.

It is a super-2 number, since 2×42561563265² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42561563265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151926 + ... + 328944.

It is an arithmetic number, because the mean of its divisors is an integer number (1282509900).

Almost surely, 2^42561563265 is an apocalyptic number.

42561563265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42561563265 is a deficient number, since it is larger than the sum of its proper divisors (39519070335).

42561563265 is a wasteful number, since it uses less digits than its factorization.

42561563265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177183 (or 177177 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 42561563265 in words is "forty-two billion, five hundred sixty-one million, five hundred sixty-three thousand, two hundred sixty-five".