1007182852225 has 81 divisors (see below), whose sum is σ = 1397811169993. Its totient is φ = 719369728000.

The previous prime is 1007182852217. The next prime is 1007182852309. The reversal of 1007182852225 is 5222582817001.

The square root of 1007182852225 is 1003585.

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 247503265009 + 759679587216 = 497497^2 + 871596^2 .

It is not a de Polignac number, because 1007182852225 - 2³ = 1007182852217 is a prime.

It is a Duffinian number.

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, 3918999297 + ... + 3918999553.

Almost surely, 2^{1007182852225} is an apocalyptic number.

1007182852225 is the 1003585-th square number.

1007182852225 is the 501793-rd centered octagonal number.

It is an amenable number.

1007182852225 is a deficient number, since it is larger than the sum of its proper divisors (390628317768).

1007182852225 is an frugal number, since it uses more digits than its factorization.

1007182852225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 1007182852225 in words is "one trillion, seven billion, one hundred eighty-two million, eight hundred fifty-two thousand, two hundred twenty-five".