113535000415305 has 96 divisors (see below), whose sum is σ = 229016997950208. Its totient is φ = 50956498137600.

The previous prime is 113535000415271. The next prime is 113535000415337. The reversal of 113535000415305 is 503514000535311.

113535000415305 is a `hidden beast` number, since 1 + 1 + 35 + 3 + 50 + 0 + 0 + 41 + 530 + 5 = 666.

It is not a de Polignac number, because 113535000415305 - 2¹⁹ = 113534999891017 is a prime.

It is a super-3 number, since 3×113535000415305³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113535000415305.

It is an unprimeable number.

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 in 95 ways as a sum of consecutive naturals, for example, 4934442 + ... + 15856188.

It is an arithmetic number, because the mean of its divisors is an integer number (2385593728648).

Almost surely, 2^{113535000415305} is an apocalyptic number.

113535000415305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113535000415305 is an abundant number, since it is smaller than the sum of its proper divisors (115481997534903).

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

113535000415305 is a wasteful number, since it uses less digits than its factorization.

113535000415305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10922367 (or 10922364 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 113535000415305 in words is "one hundred thirteen trillion, five hundred thirty-five billion, four hundred fifteen thousand, three hundred five".