115516801 has 2 divisors, whose sum is σ = 115516802. Its totient is φ = 115516800.

The previous prime is 115516781. The next prime is 115516811. The reversal of 115516801 is 108615511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98903025 + 16613776 = 9945^2 + 4076^2 .

It is a cyclic number.

It is not a de Polignac number, because 115516801 - 2¹⁹ = 114992513 is a prime.

It is equal to p_6600484 and since 115516801 and 6600484 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 115516801.

It is not a weakly prime, because it can be changed into another prime (115516811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57758400 + 57758401.

It is an arithmetic number, because the mean of its divisors is an integer number (57758401).

Almost surely, 2^115516801 is an apocalyptic number.

It is an amenable number.

115516801 is a deficient number, since it is larger than the sum of its proper divisors (1).

115516801 is an equidigital number, since it uses as much as digits as its factorization.

115516801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 28.

The square root of 115516801 is about 10747.8742549399. The cubic root of 115516801 is about 487.0217809619.

It can be divided in two parts, 1155 and 16801, that added together give a square (17956 = 134²).

The spelling of 115516801 in words is "one hundred fifteen million, five hundred sixteen thousand, eight hundred one".