71193040370657 has 2 divisors, whose sum is σ = 71193040370658. Its totient is φ = 71193040370656.

The previous prime is 71193040370561. The next prime is 71193040370689. The reversal of 71193040370657 is 75607304039117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70062909788881 + 1130130581776 = 8370359^2 + 1063076^2 .

It is a cyclic number.

It is not a de Polignac number, because 71193040370657 - 2⁸ = 71193040370401 is a prime.

It is a super-2 number, since 2×71193040370657² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71193040370599 and 71193040370608.

It is not a weakly prime, because it can be changed into another prime (71193040370357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35596520185328 + 35596520185329.

It is an arithmetic number, because the mean of its divisors is an integer number (35596520185329).

Almost surely, 2^{71193040370657} is an apocalyptic number.

It is an amenable number.

71193040370657 is a deficient number, since it is larger than the sum of its proper divisors (1).

71193040370657 is an equidigital number, since it uses as much as digits as its factorization.

71193040370657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3333960, while the sum is 53.

The spelling of 71193040370657 in words is "seventy-one trillion, one hundred ninety-three billion, forty million, three hundred seventy thousand, six hundred fifty-seven".