34138105225 has 27 divisors (see below), whose sum is σ = 49251804807. Its totient is φ = 23404552080.

The previous prime is 34138105223. The next prime is 34138105271. The reversal of 34138105225 is 52250183143.

The square root of 34138105225 is 184765.

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

It can be written as a sum of positive squares in only one way, i.e., 12289717881 + 21848387344 = 110859^2 + 147812^2 .

It is not a de Polignac number, because 34138105225 - 2¹ = 34138105223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34138105223) 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, 6464136 + ... + 6469414.

Almost surely, 2^34138105225 is an apocalyptic number.

34138105225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34138105225 is the 184765-th square number.

34138105225 is the 92383-rd centered octagonal number.

It is an amenable number.

34138105225 is a deficient number, since it is larger than the sum of its proper divisors (15113699582).

34138105225 is an frugal number, since it uses more digits than its factorization.

34138105225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10582 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 34138105225 its reverse (52250183143), we get a palindrome (86388288368).

The spelling of 34138105225 in words is "thirty-four billion, one hundred thirty-eight million, one hundred five thousand, two hundred twenty-five".