5005151561565 has 48 divisors (see below), whose sum is σ = 8682891428016. Its totient is φ = 2667170304000.

The previous prime is 5005151561549. The next prime is 5005151561567. The reversal of 5005151561565 is 5651651515005.

5005151561565 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 15 + 15 + 61 + 565 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98346214404 + 4906805347161 = 313602^2 + 2215131^2 .

It is not a de Polignac number, because 5005151561565 - 2⁴ = 5005151561549 is a prime.

It is a super-3 number, since 3×5005151561565³ (a number of 39 digits) contains 333 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 5005151561565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005151561567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511716975 + ... + 511726755.

It is an arithmetic number, because the mean of its divisors is an integer number (180893571417).

Almost surely, 2^{5005151561565} is an apocalyptic number.

It is an amenable number.

5005151561565 is a deficient number, since it is larger than the sum of its proper divisors (3677739866451).

5005151561565 is a wasteful number, since it uses less digits than its factorization.

5005151561565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18190 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 45.

The spelling of 5005151561565 in words is "five trillion, five billion, one hundred fifty-one million, five hundred sixty-one thousand, five hundred sixty-five".