35038224225 has 27 divisors (see below), whose sum is σ = 62762382163. Its totient is φ = 18685555440.

The previous prime is 35038224223. The next prime is 35038224229. The reversal of 35038224225 is 52242283053.

The square root of 35038224225 is 187185.

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

35038224225 is a `hidden beast` number, since 3 + 50 + 382 + 2 + 4 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12613760721 + 22424463504 = 112311^2 + 149748^2 .

It is not a de Polignac number, because 35038224225 - 2¹ = 35038224223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35038224225.

It is not an unprimeable number, because it can be changed into a prime (35038224223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2801536 + ... + 2814014.

Almost surely, 2^35038224225 is an apocalyptic number.

35038224225 is the 187185-th square number.

35038224225 is the 93593-rd centered octagonal number.

It is an amenable number.

35038224225 is a deficient number, since it is larger than the sum of its proper divisors (27724157938).

35038224225 is an frugal number, since it uses more digits than its factorization.

35038224225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24974 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 35038224225 by its sum of digits (36), we get a square (1261376072100 = 1123110²).

The spelling of 35038224225 in words is "thirty-five billion, thirty-eight million, two hundred twenty-four thousand, two hundred twenty-five".