1052604181225 has 27 divisors (see below), whose sum is σ = 1311011348367. Its totient is φ = 838369351680.

The previous prime is 1052604181217. The next prime is 1052604181249. The reversal of 1052604181225 is 5221814062501.

The square root of 1052604181225 is 1025965.

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 164403488089 + 888200693136 = 405467^2 + 942444^2 .

It is not a de Polignac number, because 1052604181225 - 2³ = 1052604181217 is a prime.

It is a super-2 number, since 2×1052604181225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2303291197 + ... + 2303291653.

Almost surely, 2^{1052604181225} is an apocalyptic number.

1052604181225 is the 1025965-th square number.

1052604181225 is the 512983-rd centered octagonal number.

It is an amenable number.

1052604181225 is a deficient number, since it is larger than the sum of its proper divisors (258407167142).

1052604181225 is an frugal number, since it uses more digits than its factorization.

1052604181225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 1052604181225 in words is "one trillion, fifty-two billion, six hundred four million, one hundred eighty-one thousand, two hundred twenty-five".