812577111097 has 2 divisors, whose sum is σ = 812577111098. Its totient is φ = 812577111096.

The previous prime is 812577111019. The next prime is 812577111103. The reversal of 812577111097 is 790111775218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 803642324521 + 8934786576 = 896461^2 + 94524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-812577111097 is a prime.

It is a super-2 number, since 2×812577111097² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 812577111097.

It is not a weakly prime, because it can be changed into another prime (812577118097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406288555548 + 406288555549.

It is an arithmetic number, because the mean of its divisors is an integer number (406288555549).

Almost surely, 2^812577111097 is an apocalyptic number.

It is an amenable number.

812577111097 is a deficient number, since it is larger than the sum of its proper divisors (1).

812577111097 is an equidigital number, since it uses as much as digits as its factorization.

812577111097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 49.

The spelling of 812577111097 in words is "eight hundred twelve billion, five hundred seventy-seven million, one hundred eleven thousand, ninety-seven".