35381986201 has 9 divisors (see below), whose sum is σ = 35668112221. Its totient is φ = 35098141792.

The previous prime is 35381986153. The next prime is 35381986217. The reversal of 35381986201 is 10268918353.

The square root of 35381986201 is 188101.

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

35381986201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16978350601 + 18403635600 = 130301^2 + 135660^2 .

It is not a de Polignac number, because 35381986201 - 2¹¹ = 35381984153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35381983201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25769151 + ... + 25770523.

Almost surely, 2^35381986201 is an apocalyptic number.

35381986201 is the 188101-st square number.

35381986201 is the 94051-st centered octagonal number.

It is an amenable number.

35381986201 is a deficient number, since it is larger than the sum of its proper divisors (286126020).

35381986201 is an frugal number, since it uses more digits than its factorization.

35381986201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 35381986201 in words is "thirty-five billion, three hundred eighty-one million, nine hundred eighty-six thousand, two hundred one".