1012545585 has 48 divisors (see below), whose sum is σ = 1922441040. Its totient is φ = 490721280.

The previous prime is 1012545571. The next prime is 1012545593. The reversal of 1012545585 is 5855452101.

1012545585 is a `hidden beast` number, since 1 + 0 + 125 + 455 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5308416 + 1007237169 = 2304^2 + 31737^2 .

It is not a de Polignac number, because 1012545585 - 2⁸ = 1012545329 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636 + ... + 45005.

It is an arithmetic number, because the mean of its divisors is an integer number (40050855).

Almost surely, 2^1012545585 is an apocalyptic number.

1012545585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012545585 is a deficient number, since it is larger than the sum of its proper divisors (909895455).

1012545585 is a wasteful number, since it uses less digits than its factorization.

1012545585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45698 (or 45695 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 1012545585 is about 31820.5214445018. The cubic root of 1012545585 is about 1004.1644945766.

Adding to 1012545585 its reverse (5855452101), we get a palindrome (6867997686).

The spelling of 1012545585 in words is "one billion, twelve million, five hundred forty-five thousand, five hundred eighty-five".