635106904074561 has 16 divisors (see below), whose sum is σ = 891379576577600. Its totient is φ = 401119490423808.

The previous prime is 635106904074557. The next prime is 635106904074611. The reversal of 635106904074561 is 165470409601536.

It is a happy number.

It is not a de Polignac number, because 635106904074561 - 2² = 635106904074557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (635106904074521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27056805 + ... + 44746893.

It is an arithmetic number, because the mean of its divisors is an integer number (55711223536100).

Almost surely, 2^{635106904074561} is an apocalyptic number.

It is an amenable number.

635106904074561 is a deficient number, since it is larger than the sum of its proper divisors (256272672503039).

635106904074561 is a wasteful number, since it uses less digits than its factorization.

635106904074561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18319968.

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 635106904074561 in words is "six hundred thirty-five trillion, one hundred six billion, nine hundred four million, seventy-four thousand, five hundred sixty-one".