561312213165 has 48 divisors (see below), whose sum is σ = 1071899277696. Its totient is φ = 269456784000.

The previous prime is 561312213151. The next prime is 561312213169.

561312213165 is a `hidden beast` number, since 5 + 6 + 1 + 312 + 21 + 316 + 5 = 666.

561312213165 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 561312213165 - 2²⁷ = 561177995437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561312213169) 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, 5563689 + ... + 5663678.

It is an arithmetic number, because the mean of its divisors is an integer number (22331234952).

Almost surely, 2^561312213165 is an apocalyptic number.

561312213165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

561312213165 is a deficient number, since it is larger than the sum of its proper divisors (510587064531).

561312213165 is a wasteful number, since it uses less digits than its factorization.

561312213165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11227490 (or 11227487 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 561312 and 213165, that added together give a palindrome (774477).

The spelling of 561312213165 in words is "five hundred sixty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred sixty-five".