1005617868025 has 27 divisors (see below), whose sum is σ = 1257378923919. Its totient is φ = 797831658000.

The previous prime is 1005617868001. The next prime is 1005617868053. The reversal of 1005617868025 is 5208687165001.

The square root of 1005617868025 is 1002805.

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., 362022432489 + 643595435536 = 601683^2 + 802244^2 .

It is not a de Polignac number, because 1005617868025 - 2⁷ = 1005617867897 is a prime.

It is a super-2 number, since 2×1005617868025² (a number of 25 digits) contains 22 as substring.

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 1005617868025.

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, 656836510 + ... + 656838040.

Almost surely, 2^{1005617868025} is an apocalyptic number.

1005617868025 is the 1002805-th square number.

1005617868025 is the 501403-rd centered octagonal number.

It is an amenable number.

1005617868025 is a deficient number, since it is larger than the sum of its proper divisors (251761055894).

1005617868025 is an frugal number, since it uses more digits than its factorization.

1005617868025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

Multiplying 1005617868025 by its sum of digits (49), we get a square (49275275533225 = 7019635²).

The spelling of 1005617868025 in words is "one trillion, five billion, six hundred seventeen million, eight hundred sixty-eight thousand, twenty-five".