35008108065225 has 81 divisors (see below), whose sum is σ = 66611684938773. Its totient is φ = 17571940035840.

The previous prime is 35008108065211. The next prime is 35008108065263. The reversal of 35008108065225 is 52256080180053.

The square root of 35008108065225 is 5916765.

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

35008108065225 is a `hidden beast` number, since 3 + 500 + 8 + 1 + 0 + 80 + 65 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 818874776889 + 34189233288336 = 904917^2 + 5847156^2 .

It is a de Polignac number, because none of the positive numbers 2^k-35008108065225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1508763474 + ... + 1508786676.

Almost surely, 2^{35008108065225} is an apocalyptic number.

35008108065225 is the 5916765-th square number.

35008108065225 is the 2958383-rd centered octagonal number.

It is an amenable number.

35008108065225 is a deficient number, since it is larger than the sum of its proper divisors (31603576873548).

35008108065225 is an frugal number, since it uses more digits than its factorization.

35008108065225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46456 (or 23228 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 35008108065225 in words is "thirty-five trillion, eight billion, one hundred eight million, sixty-five thousand, two hundred twenty-five".