115056351506401 has 2 divisors, whose sum is σ = 115056351506402. Its totient is φ = 115056351506400.

The previous prime is 115056351506323. The next prime is 115056351506423. The reversal of 115056351506401 is 104605153650511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64966421030625 + 50089930475776 = 8060175^2 + 7077424^2 .

It is a cyclic number.

It is not a de Polignac number, because 115056351506401 - 2⁷ = 115056351506273 is a prime.

It is not a weakly prime, because it can be changed into another prime (115056351506441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57528175753200 + 57528175753201.

It is an arithmetic number, because the mean of its divisors is an integer number (57528175753201).

Almost surely, 2^{115056351506401} is an apocalyptic number.

It is an amenable number.

115056351506401 is a deficient number, since it is larger than the sum of its proper divisors (1).

115056351506401 is an equidigital number, since it uses as much as digits as its factorization.

115056351506401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270000, while the sum is 43.

The spelling of 115056351506401 in words is "one hundred fifteen trillion, fifty-six billion, three hundred fifty-one million, five hundred six thousand, four hundred one".