10035279958201 has 27 divisors (see below), whose sum is σ = 10677897789069. Its totient is φ = 9429957485568.

The previous prime is 10035279958189. The next prime is 10035279958313. The reversal of 10035279958201 is 10285997253001.

The square root of 10035279958201 is 3167851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 63579118201 + 9971700840000 = 252149^2 + 3157800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10035279958201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10035279958801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8245915545 + ... + 8245916761.

Almost surely, 2^{10035279958201} is an apocalyptic number.

10035279958201 is the 3167851-st square number.

10035279958201 is the 1583926-th centered octagonal number.

It is an amenable number.

10035279958201 is a deficient number, since it is larger than the sum of its proper divisors (642617830868).

10035279958201 is an frugal number, since it uses more digits than its factorization.

10035279958201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 52.

The spelling of 10035279958201 in words is "ten trillion, thirty-five billion, two hundred seventy-nine million, nine hundred fifty-eight thousand, two hundred one".