712161312561 has 12 divisors (see below), whose sum is σ = 1041698686080. Its totient is φ = 468764407800.

The previous prime is 712161312509. The next prime is 712161312563. The reversal of 712161312561 is 165213161217.

712161312561 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 61 + 31 + 2 + 561 = 666.

It is not a de Polignac number, because 712161312561 - 2¹⁵ = 712161279793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712161312563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500815965 + ... + 500817386.

It is an arithmetic number, because the mean of its divisors is an integer number (86808223840).

Almost surely, 2^712161312561 is an apocalyptic number.

It is an amenable number.

712161312561 is a deficient number, since it is larger than the sum of its proper divisors (329537373519).

712161312561 is a wasteful number, since it uses less digits than its factorization.

712161312561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001633436 (or 1001633433 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

Adding to 712161312561 its reverse (165213161217), we get a palindrome (877374473778).

The spelling of 712161312561 in words is "seven hundred twelve billion, one hundred sixty-one million, three hundred twelve thousand, five hundred sixty-one".