34005204025 has 27 divisors (see below), whose sum is σ = 45675631911. Its totient is φ = 25102683840.

The previous prime is 34005204011. The next prime is 34005204043. The reversal of 34005204025 is 52040250043.

The square root of 34005204025 is 184405.

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

It can be written as a sum of positive squares in 13 ways, for example, as 30085943209 + 3919260816 = 173453^2 + 62604^2 .

It is not a de Polignac number, because 34005204025 - 2⁵ = 34005203993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 11984907 + ... + 11987743.

Almost surely, 2^34005204025 is an apocalyptic number.

34005204025 is the 184405-th square number.

34005204025 is the 92203-rd centered octagonal number.

It is an amenable number.

34005204025 is a deficient number, since it is larger than the sum of its proper divisors (11670427886).

34005204025 is an frugal number, since it uses more digits than its factorization.

34005204025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Multiplying 34005204025 by its sum of digits (25), we get a square (850130100625 = 922025²).

34005204025 divided by its sum of digits (25) gives a square (1360208161 = 36881²).

Adding to 34005204025 its reverse (52040250043), we get a palindrome (86045454068).

The spelling of 34005204025 in words is "thirty-four billion, five million, two hundred four thousand, twenty-five".