1166825583 has 72 divisors (see below), whose sum is σ = 2264792400. Its totient is φ = 570447360.

The previous prime is 1166825579. The next prime is 1166825593. The reversal of 1166825583 is 3855286611.

1166825583 is a `hidden beast` number, since 1 + 1 + 6 + 68 + 2 + 5 + 583 = 666.

It is not a de Polignac number, because 1166825583 - 2² = 1166825579 is a prime.

It is a super-2 number, since 2×1166825583² = 2722963882286579778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166825593) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75393 + ... + 89541.

It is an arithmetic number, because the mean of its divisors is an integer number (31455450).

Almost surely, 2^1166825583 is an apocalyptic number.

1166825583 is a deficient number, since it is larger than the sum of its proper divisors (1097966817).

1166825583 is a wasteful number, since it uses less digits than its factorization.

1166825583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14187 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1166825583 is about 34158.8287709049. The cubic root of 1166825583 is about 1052.7743961396.

It can be divided in two parts, 116682 and 5583, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1166825583 in words is "one billion, one hundred sixty-six million, eight hundred twenty-five thousand, five hundred eighty-three".