2034431532225 has 27 divisors (see below), whose sum is σ = 3643931243433. Its totient is φ = 1085018739840.

The previous prime is 2034431532187. The next prime is 2034431532269. The reversal of 2034431532225 is 5222351344302.

The square root of 2034431532225 is 1426335.

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

2034431532225 is a `hidden beast` number, since 20 + 3 + 443 + 153 + 22 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 548889838641 + 1485541693584 = 740871^2 + 1218828^2 .

It is not a de Polignac number, because 2034431532225 - 2⁷ = 2034431532097 is a prime.

It is a super-2 number, since 2×2034431532225² (a number of 25 digits) contains 22 as substring.

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 2034431532225.

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, 21347481 + ... + 21442569.

Almost surely, 2^{2034431532225} is an apocalyptic number.

2034431532225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2034431532225 is the 1426335-th square number.

2034431532225 is the 713168-th centered octagonal number.

It is an amenable number.

2034431532225 is a deficient number, since it is larger than the sum of its proper divisors (1609499711208).

2034431532225 is an frugal number, since it uses more digits than its factorization.

2034431532225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190194 (or 95097 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Multiplying 2034431532225 by its sum of digits (36), we get a square (73239535160100 = 8558010²).

Adding to 2034431532225 its reverse (5222351344302), we get a palindrome (7256782876527).

The spelling of 2034431532225 in words is "two trillion, thirty-four billion, four hundred thirty-one million, five hundred thirty-two thousand, two hundred twenty-five".