712641535585201 has 2 divisors, whose sum is σ = 712641535585202. Its totient is φ = 712641535585200.

The previous prime is 712641535585193. The next prime is 712641535585229. The reversal of 712641535585201 is 102585535146217.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 710186469656976 + 2455065928225 = 26649324^2 + 1566865^2 .

It is a cyclic number.

It is not a de Polignac number, because 712641535585201 - 2³ = 712641535585193 is a prime.

It is not a weakly prime, because it can be changed into another prime (712641535505201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356320767792600 + 356320767792601.

It is an arithmetic number, because the mean of its divisors is an integer number (356320767792601).

Almost surely, 2^{712641535585201} is an apocalyptic number.

It is an amenable number.

712641535585201 is a deficient number, since it is larger than the sum of its proper divisors (1).

712641535585201 is an equidigital number, since it uses as much as digits as its factorization.

712641535585201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080000, while the sum is 55.

The spelling of 712641535585201 in words is "seven hundred twelve trillion, six hundred forty-one billion, five hundred thirty-five million, five hundred eighty-five thousand, two hundred one".