35613351225 has 81 divisors (see below), whose sum is σ = 66803545263. Its totient is φ = 18134756640.

The previous prime is 35613351217. The next prime is 35613351227. The reversal of 35613351225 is 52215331653.

The square root of 35613351225 is 188715.

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

35613351225 is a `hidden beast` number, since 3 + 5 + 6 + 133 + 512 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12820806441 + 22792544784 = 113229^2 + 150972^2 .

It is not a de Polignac number, because 35613351225 - 2³ = 35613351217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35613351225.

It is not an unprimeable number, because it can be changed into a prime (35613351227) 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 80 ways as a sum of consecutive naturals, for example, 65106402 + ... + 65106948.

Almost surely, 2^35613351225 is an apocalyptic number.

35613351225 is the 188715-th square number.

35613351225 is the 94358-th centered octagonal number.

It is an amenable number.

35613351225 is a deficient number, since it is larger than the sum of its proper divisors (31190194038).

35613351225 is an equidigital number, since it uses as much as digits as its factorization.

35613351225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 578 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Multiplying 35613351225 by its sum of digits (36), we get a square (1282080644100 = 1132290²).

Adding to 35613351225 its reverse (52215331653), we get a palindrome (87828682878).

The spelling of 35613351225 in words is "thirty-five billion, six hundred thirteen million, three hundred fifty-one thousand, two hundred twenty-five".