712641535585153 has 2 divisors, whose sum is σ = 712641535585154. Its totient is φ = 712641535585152.

The previous prime is 712641535585151. The next prime is 712641535585159. The reversal of 712641535585153 is 351585535146217.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 609381957749569 + 103259577835584 = 24685663^2 + 10161672^2 .

It is a cyclic number.

It is not a de Polignac number, because 712641535585153 - 2¹ = 712641535585151 is a prime.

It is a super-2 number, since 2×712641535585153² (a number of 31 digits) contains 22 as substring.

Together with 712641535585151, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 712641535585091 and 712641535585100.

It is not a weakly prime, because it can be changed into another prime (712641535585151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356320767792576 + 356320767792577.

It is an arithmetic number, because the mean of its divisors is an integer number (356320767792577).

Almost surely, 2^{712641535585153} is an apocalyptic number.

It is an amenable number.

712641535585153 is a deficient number, since it is larger than the sum of its proper divisors (1).

712641535585153 is an equidigital number, since it uses as much as digits as its factorization.

712641535585153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600000, while the sum is 61.

The spelling of 712641535585153 in words is "seven hundred twelve trillion, six hundred forty-one billion, five hundred thirty-five million, five hundred eighty-five thousand, one hundred fifty-three".