1829296825225 has 81 divisors (see below), whose sum is σ = 2506659077223. Its totient is φ = 1323993163680.

The previous prime is 1829296825159. The next prime is 1829296825231. The reversal of 1829296825225 is 5225286929281.

It is a happy number.

The square root of 1829296825225 is 1352515.

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., 658546857081 + 1170749968144 = 811509^2 + 1082012^2 .

It is not a de Polignac number, because 1829296825225 - 2²⁹ = 1828759954313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2955244966 + ... + 2955245584.

Almost surely, 2^{1829296825225} is an apocalyptic number.

1829296825225 is the 1352515-th square number.

1829296825225 is the 676258-th centered octagonal number.

It is an amenable number.

1829296825225 is a deficient number, since it is larger than the sum of its proper divisors (677362251998).

1829296825225 is an frugal number, since it uses more digits than its factorization.

1829296825225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 666 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 61.

The spelling of 1829296825225 in words is "one trillion, eight hundred twenty-nine billion, two hundred ninety-six million, eight hundred twenty-five thousand, two hundred twenty-five".