113509416953 has 2 divisors, whose sum is σ = 113509416954. Its totient is φ = 113509416952.

The previous prime is 113509416929. The next prime is 113509416991. The reversal of 113509416953 is 359614905311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105590552809 + 7918864144 = 324947^2 + 88988^2 .

It is a cyclic number.

It is not a de Polignac number, because 113509416953 - 2³² = 109214449657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113509416898 and 113509416907.

It is not a weakly prime, because it can be changed into another prime (113509410953) 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, 56754708476 + 56754708477.

It is an arithmetic number, because the mean of its divisors is an integer number (56754708477).

Almost surely, 2^113509416953 is an apocalyptic number.

It is an amenable number.

113509416953 is a deficient number, since it is larger than the sum of its proper divisors (1).

113509416953 is an equidigital number, since it uses as much as digits as its factorization.

113509416953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 437400, while the sum is 47.

The spelling of 113509416953 in words is "one hundred thirteen billion, five hundred nine million, four hundred sixteen thousand, nine hundred fifty-three".