4034132505225 has 81 divisors (see below), whose sum is σ = 7266224159103. Its totient is φ = 2139502314240.

The previous prime is 4034132505187. The next prime is 4034132505233. The reversal of 4034132505225 is 5225052314304.

The square root of 4034132505225 is 2008515.

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

4034132505225 is a `hidden beast` number, since 40 + 3 + 41 + 3 + 2 + 50 + 522 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4349270601 + 4029783234624 = 65949^2 + 2007432^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4034132505225 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4034132505225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8827423197 + ... + 8827423653.

Almost surely, 2^{4034132505225} is an apocalyptic number.

4034132505225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4034132505225 is the 2008515-th square number.

4034132505225 is the 1004258-th centered octagonal number.

It is an amenable number.

4034132505225 is a deficient number, since it is larger than the sum of its proper divisors (3232091653878).

4034132505225 is an frugal number, since it uses more digits than its factorization.

4034132505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Multiplying 4034132505225 by its sum of digits (36), we get a square (145228770188100 = 12051090²).

Adding to 4034132505225 its reverse (5225052314304), we get a palindrome (9259184819529).

The spelling of 4034132505225 in words is "four trillion, thirty-four billion, one hundred thirty-two million, five hundred five thousand, two hundred twenty-five".