10005610563 has 16 divisors (see below), whose sum is σ = 15963367840. Its totient is φ = 6157298592.

The previous prime is 10005610547. The next prime is 10005610619. The reversal of 10005610563 is 36501650001.

It is a happy number.

It is not a de Polignac number, because 10005610563 - 2⁴ = 10005610547 is a prime.

It is a super-2 number, since 2×10005610563² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005610663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14252656 + ... + 14253357.

It is an arithmetic number, because the mean of its divisors is an integer number (997710490).

Almost surely, 2^10005610563 is an apocalyptic number.

10005610563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10005610563 is a deficient number, since it is larger than the sum of its proper divisors (5957757277).

10005610563 is a wasteful number, since it uses less digits than its factorization.

10005610563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28506035 (or 28506029 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10005610563 in words is "ten billion, five million, six hundred ten thousand, five hundred sixty-three".