71015677326401 has 2 divisors, whose sum is σ = 71015677326402. Its totient is φ = 71015677326400.

The previous prime is 71015677326359. The next prime is 71015677326437. The reversal of 71015677326401 is 10462377651017.

It is a Cunningham number, because it is equal to 8427080²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71015677326400 + 1 = 8427080^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71015677326401 is a prime.

It is a super-2 number, since 2×71015677326401² (a number of 29 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 71015677326401.

It is not a weakly prime, because it can be changed into another prime (71015677326481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35507838663200 + 35507838663201.

It is an arithmetic number, because the mean of its divisors is an integer number (35507838663201).

Almost surely, 2^{71015677326401} is an apocalyptic number.

It is an amenable number.

71015677326401 is a deficient number, since it is larger than the sum of its proper divisors (1).

71015677326401 is an equidigital number, since it uses as much as digits as its factorization.

71015677326401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 71015677326401 in words is "seventy-one trillion, fifteen billion, six hundred seventy-seven million, three hundred twenty-six thousand, four hundred one".