113535000252405 has 48 divisors (see below), whose sum is σ = 197042545655280. Its totient is φ = 60475532995584.

The previous prime is 113535000252299. The next prime is 113535000252431. The reversal of 113535000252405 is 504252000535311.

113535000252405 is a `hidden beast` number, since 1 + 1 + 353 + 50 + 0 + 0 + 252 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 575812345329 + 112959187907076 = 758823^2 + 10628226^2 .

It is not a de Polignac number, because 113535000252405 - 2¹² = 113535000248309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113535000252405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745016577 + ... + 745168953.

It is an arithmetic number, because the mean of its divisors is an integer number (4105053034485).

Almost surely, 2^{113535000252405} is an apocalyptic number.

113535000252405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113535000252405 is a deficient number, since it is larger than the sum of its proper divisors (83507545402875).

113535000252405 is a wasteful number, since it uses less digits than its factorization.

113535000252405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173190 (or 173187 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 113535000252405 its reverse (504252000535311), we get a palindrome (617787000787716).

The spelling of 113535000252405 in words is "one hundred thirteen trillion, five hundred thirty-five billion, two hundred fifty-two thousand, four hundred five".