10415331135153 has 48 divisors (see below), whose sum is σ = 17411191848960. Its totient is φ = 5876370921312.

The previous prime is 10415331135107. The next prime is 10415331135173. The reversal of 10415331135153 is 35153113351401.

10415331135153 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 533 + 113 + 5 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 10415331135153 - 2⁶ = 10415331135089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10415331135173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8096958 + ... + 9294696.

It is an arithmetic number, because the mean of its divisors is an integer number (362733163520).

Almost surely, 2^{10415331135153} is an apocalyptic number.

It is an amenable number.

10415331135153 is a deficient number, since it is larger than the sum of its proper divisors (6995860713807).

10415331135153 is a wasteful number, since it uses less digits than its factorization.

10415331135153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199498 (or 1199495 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 10415331135153 its reverse (35153113351401), we get a palindrome (45568444486554).

The spelling of 10415331135153 in words is "ten trillion, four hundred fifteen billion, three hundred thirty-one million, one hundred thirty-five thousand, one hundred fifty-three".