712953359217 has 32 divisors (see below), whose sum is σ = 1152301647360. Its totient is φ = 432072772560.

The previous prime is 712953359201. The next prime is 712953359257.

It is a happy number.

712953359217 is a `hidden beast` number, since 7 + 1 + 2 + 9 + 5 + 33 + 592 + 17 = 666.

712953359217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 712953359217 - 2⁴ = 712953359201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712953359257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8524758 + ... + 8607984.

It is an arithmetic number, because the mean of its divisors is an integer number (36009426480).

Almost surely, 2^712953359217 is an apocalyptic number.

It is an amenable number.

712953359217 is a deficient number, since it is larger than the sum of its proper divisors (439348288143).

712953359217 is a wasteful number, since it uses less digits than its factorization.

712953359217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112090 (or 112084 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The spelling of 712953359217 in words is "seven hundred twelve billion, nine hundred fifty-three million, three hundred fifty-nine thousand, two hundred seventeen".