1029849484225 has 27 divisors (see below), whose sum is σ = 1356664157737. Its totient is φ = 775351134080.

The previous prime is 1029849484171. The next prime is 1029849484231. The reversal of 1029849484225 is 5224849489201.

It is a happy number.

The square root of 1029849484225 is 1014815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24089212849 + 1005760271376 = 155207^2 + 1002876^2 .

It is not a de Polignac number, because 1029849484225 - 2¹⁷ = 1029849353153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1029849484225.

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, 86253306 + ... + 86265244.

Almost surely, 2^{1029849484225} is an apocalyptic number.

1029849484225 is the 1014815-th square number.

1029849484225 is the 507408-th centered octagonal number.

It is an amenable number.

1029849484225 is a deficient number, since it is larger than the sum of its proper divisors (326814673512).

1029849484225 is an frugal number, since it uses more digits than its factorization.

1029849484225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23922 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 1029849484225 in words is "one trillion, twenty-nine billion, eight hundred forty-nine million, four hundred eighty-four thousand, two hundred twenty-five".