635005010013 has 24 divisors (see below), whose sum is σ = 930337308576. Its totient is φ = 382082421600.

The previous prime is 635005009999. The next prime is 635005010047. The reversal of 635005010013 is 310010500536.

It is not a de Polignac number, because 635005010013 - 2⁴ = 635005009997 is a prime.

It is a super-2 number, since 2×635005010013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635005017013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139623 + ... + 1135563.

It is an arithmetic number, because the mean of its divisors is an integer number (38764054524).

Almost surely, 2^635005010013 is an apocalyptic number.

It is an amenable number.

635005010013 is a deficient number, since it is larger than the sum of its proper divisors (295332298563).

635005010013 is a wasteful number, since it uses less digits than its factorization.

635005010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996233 (or 996094 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 635005010013 its reverse (310010500536), we get a palindrome (945015510549).

The spelling of 635005010013 in words is "six hundred thirty-five billion, five million, ten thousand, thirteen".