413312500053135 has 24 divisors (see below), whose sum is σ = 716741082471024. Its totient is φ = 220330949040000.

The previous prime is 413312500053127. The next prime is 413312500053151. The reversal of 413312500053135 is 531350005213314.

413312500053135 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 12 + 500 + 0 + 5 + 3 + 135 = 666.

It is not a de Polignac number, because 413312500053135 - 2³ = 413312500053127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413312500053135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132908741 + ... + 2133102510.

It is an arithmetic number, because the mean of its divisors is an integer number (29864211769626).

Almost surely, 2^{413312500053135} is an apocalyptic number.

413312500053135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413312500053135 is a deficient number, since it is larger than the sum of its proper divisors (303428582417889).

413312500053135 is a wasteful number, since it uses less digits than its factorization.

413312500053135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266013415 (or 4266013412 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 413312500053135 its reverse (531350005213314), we get a palindrome (944662505266449).

The spelling of 413312500053135 in words is "four hundred thirteen trillion, three hundred twelve billion, five hundred million, fifty-three thousand, one hundred thirty-five".