113509305 has 96 divisors (see below), whose sum is σ = 247193856. Its totient is φ = 46904832.

The previous prime is 113509271. The next prime is 113509309. The reversal of 113509305 is 503905311.

113509305 is a `hidden beast` number, since 1 + 1 + 350 + 9 + 305 = 666.

It is not a de Polignac number, because 113509305 - 2¹⁶ = 113443769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113509309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216774 + ... + 217296.

It is an arithmetic number, because the mean of its divisors is an integer number (2574936).

Almost surely, 2^113509305 is an apocalyptic number.

113509305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113509305 is an abundant number, since it is smaller than the sum of its proper divisors (133684551).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113509305 is a wasteful number, since it uses less digits than its factorization.

113509305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 113509305 is about 10654.0745726694. The cubic root of 113509305 is about 484.1840604617.

The spelling of 113509305 in words is "one hundred thirteen million, five hundred nine thousand, three hundred five".