35349640225 has 27 divisors (see below), whose sum is σ = 45330522489. Its totient is φ = 27344901600.

The previous prime is 35349640223. The next prime is 35349640229. The reversal of 35349640225 is 52204694353.

The square root of 35349640225 is 188015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15506973729 + 19842666496 = 124527^2 + 140864^2 .

It is not a de Polignac number, because 35349640225 - 2¹ = 35349640223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35349640223) 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, 29141719 + ... + 29142931.

Almost surely, 2^35349640225 is an apocalyptic number.

35349640225 is the 188015-th square number.

35349640225 is the 94008-th centered octagonal number.

It is an amenable number.

35349640225 is a deficient number, since it is larger than the sum of its proper divisors (9980882264).

35349640225 is an frugal number, since it uses more digits than its factorization.

35349640225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 35349640225 in words is "thirty-five billion, three hundred forty-nine million, six hundred forty thousand, two hundred twenty-five".