35206893225 has 81 divisors (see below), whose sum is σ = 73395951447. Its totient is φ = 16085573280.

The previous prime is 35206893203. The next prime is 35206893301. The reversal of 35206893225 is 52239860253.

The square root of 35206893225 is 187635.

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

35206893225 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 only one way, i.e., 12674481561 + 22532411664 = 112581^2 + 150108^2 .

It is a de Polignac number, because none of the positive numbers 2^k-35206893225 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, 19700782 + ... + 19702568.

Almost surely, 2^35206893225 is an apocalyptic number.

35206893225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35206893225 is the 187635-th square number.

35206893225 is the 93818-th centered octagonal number.

It is an amenable number.

35206893225 is an abundant number, since it is smaller than the sum of its proper divisors (38189058222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35206893225 is an equidigital number, since it uses as much as digits as its factorization.

35206893225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 35206893225 in words is "thirty-five billion, two hundred six million, eight hundred ninety-three thousand, two hundred twenty-five".