1045589085 has 48 divisors (see below), whose sum is σ = 1895332608. Its totient is φ = 532224000.

The previous prime is 1045589059. The next prime is 1045589099. The reversal of 1045589085 is 5809855401.

It is a happy number.

1045589085 is a `hidden beast` number, since 1 + 0 + 4 + 558 + 90 + 8 + 5 = 666.

It is not a de Polignac number, because 1045589085 - 2⁶ = 1045589021 is a prime.

It is a super-2 number, since 2×1045589085² = 2186513069342274450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1045589085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652285 + ... + 653885.

It is an arithmetic number, because the mean of its divisors is an integer number (39486096).

Almost surely, 2^1045589085 is an apocalyptic number.

1045589085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1045589085 is a deficient number, since it is larger than the sum of its proper divisors (849743523).

1045589085 is a wasteful number, since it uses less digits than its factorization.

1045589085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 1045589085 is about 32335.5699655967. The cubic root of 1045589085 is about 1014.9711090485.

The spelling of 1045589085 in words is "one billion, forty-five million, five hundred eighty-nine thousand, eighty-five".