35820117270081 has 135 divisors (see below), whose sum is σ = 57990224853561. Its totient is φ = 22032044629056.

The previous prime is 35820117270043. The next prime is 35820117270121. The reversal of 35820117270081 is 18007271102853.

The square root of 35820117270081 is 5984991.

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

35820117270081 is a `hidden beast` number, since 358 + 20 + 1 + 1 + 7 + 270 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6154840001025 + 29665277269056 = 2480895^2 + 5446584^2 .

It is not a de Polignac number, because 35820117270081 - 2⁹ = 35820117269569 is a prime.

It is a super-2 number, since 2×35820117270081² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35820117270011) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 35927900475 + ... + 35927901471.

Almost surely, 2^{35820117270081} is an apocalyptic number.

35820117270081 is the 5984991-st square number.

35820117270081 is the 2992496-th centered octagonal number.

It is an amenable number.

35820117270081 is a deficient number, since it is larger than the sum of its proper divisors (22170107583480).

35820117270081 is an frugal number, since it uses more digits than its factorization.

35820117270081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 35820117270081 in words is "thirty-five trillion, eight hundred twenty billion, one hundred seventeen million, two hundred seventy thousand, eighty-one".