113358609 has 75 divisors (see below), whose sum is σ = 213400077. Its totient is φ = 59793552.

The previous prime is 113358587. The next prime is 113358613. The reversal of 113358609 is 906853311.

It is a happy number.

The square root of 113358609 is 10647.

It is a perfect power (a square), and thus also a powerful number.

113358609 is a `hidden beast` number, since 1 + 13 + 35 + 8 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56205009 + 57153600 = 7497^2 + 7560^2 .

It is not a de Polignac number, because 113358609 - 2¹⁷ = 113227537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113358629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 8719887 + ... + 8719899.

Almost surely, 2^113358609 is an apocalyptic number.

113358609 is the 10647-th square number.

113358609 is the 5324-th centered octagonal number.

It is an amenable number.

113358609 is a deficient number, since it is larger than the sum of its proper divisors (100041468).

113358609 is an frugal number, since it uses more digits than its factorization.

113358609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 113358609 is about 483.9696964954.

Multiplying 113358609 by its sum of digits (36), we get a square (4080909924 = 63882²).

The spelling of 113358609 in words is "one hundred thirteen million, three hundred fifty-eight thousand, six hundred nine".