34609021225 has 27 divisors (see below), whose sum is σ = 44480718373. Its totient is φ = 26711649440.

The previous prime is 34609021171. The next prime is 34609021231. The reversal of 34609021225 is 52212090643.

The square root of 34609021225 is 186035.

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 475719721 + 34133301504 = 21811^2 + 184752^2 .

It is not a de Polignac number, because 34609021225 - 2¹⁷ = 34608890153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26974434 + ... + 26975716.

Almost surely, 2^34609021225 is an apocalyptic number.

34609021225 is the 186035-th square number.

34609021225 is the 93018-th centered octagonal number.

It is an amenable number.

34609021225 is a deficient number, since it is larger than the sum of its proper divisors (9871697148).

34609021225 is an frugal number, since it uses more digits than its factorization.

34609021225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 34609021225 in words is "thirty-four billion, six hundred nine million, twenty-one thousand, two hundred twenty-five".