10415340513 has 12 divisors (see below), whose sum is σ = 15929344548. Its totient is φ = 6535115520.

The previous prime is 10415340499. The next prime is 10415340521. The reversal of 10415340513 is 31504351401.

It is a happy number.

10415340513 is a `hidden beast` number, since 104 + 1 + 5 + 3 + 40 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6766214049 + 3649126464 = 82257^2 + 60408^2 .

It is not a de Polignac number, because 10415340513 - 2⁴ = 10415340497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10415340563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34036908 + ... + 34037213.

It is an arithmetic number, because the mean of its divisors is an integer number (1327445379).

Almost surely, 2^10415340513 is an apocalyptic number.

It is an amenable number.

10415340513 is a deficient number, since it is larger than the sum of its proper divisors (5514004035).

10415340513 is a wasteful number, since it uses less digits than its factorization.

10415340513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68074144 (or 68074141 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10415340513 its reverse (31504351401), we get a palindrome (41919691914).

The spelling of 10415340513 in words is "ten billion, four hundred fifteen million, three hundred forty thousand, five hundred thirteen".