35853801201 has 21 divisors (see below), whose sum is σ = 53763777019. Its totient is φ = 23899125816.

The previous prime is 35853801169. The next prime is 35853801239. The reversal of 35853801201 is 10210835853.

The square root of 35853801201 is 189351.

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

It can be written as a sum of positive squares in only one way, i.e., 30187325025 + 5666476176 = 173745^2 + 75276^2 .

It is not a de Polignac number, because 35853801201 - 2⁵ = 35853801169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35853806201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5108971 + ... + 5115983.

Almost surely, 2^35853801201 is an apocalyptic number.

35853801201 is the 189351-st square number.

35853801201 is the 94676-th centered octagonal number.

It is an amenable number.

35853801201 is a deficient number, since it is larger than the sum of its proper divisors (17909975818).

35853801201 is an frugal number, since it uses more digits than its factorization.

35853801201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 35853801201 by its sum of digits (36), we get a square (1290736843236 = 1136106²).

The spelling of 35853801201 in words is "thirty-five billion, eight hundred fifty-three million, eight hundred one thousand, two hundred one".