1086608184025 has 243 divisors, whose sum is σ = 1780293411351. Its totient is φ = 655664405760.

The previous prime is 1086608183963. The next prime is 1086608184029. The reversal of 1086608184025 is 5204818066801.

The square root of 1086608184025 is 1042405.

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 1005184702921 + 81423481104 = 1002589^2 + 285348^2 .

It is not a de Polignac number, because 1086608184025 - 2¹⁷ = 1086608052953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1086608184025.

It is not an unprimeable number, because it can be changed into a prime (1086608184029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 13754533936 + ... + 13754534014.

Almost surely, 2^{1086608184025} is an apocalyptic number.

1086608184025 is the 1042405-th square number.

1086608184025 is the 521203-rd centered octagonal number.

It is an amenable number.

1086608184025 is a deficient number, since it is larger than the sum of its proper divisors (693685227326).

1086608184025 is an equidigital number, since it uses as much as digits as its factorization.

1086608184025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 1086608184025 by its sum of digits (49), we get a square (53243801017225 = 7296835²).

1086608184025 divided by its sum of digits (49) gives a square (22175677225 = 148915²).

The spelling of 1086608184025 in words is "one trillion, eighty-six billion, six hundred eight million, one hundred eighty-four thousand, twenty-five".