1080581013 has 64 divisors (see below), whose sum is σ = 1768884480. Its totient is φ = 649119744.

The previous prime is 1080581011. The next prime is 1080581027. The reversal of 1080581013 is 3101850801.

1080581013 is a `hidden beast` number, since 1 + 0 + 80 + 581 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 1080581013 - 2¹ = 1080581011 is a prime.

It is a super-2 number, since 2×1080581013² = 2335310651312212338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080581011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1045545 + ... + 1046577.

It is an arithmetic number, because the mean of its divisors is an integer number (27638820).

Almost surely, 2^1080581013 is an apocalyptic number.

It is an amenable number.

1080581013 is a deficient number, since it is larger than the sum of its proper divisors (688303467).

1080581013 is a wasteful number, since it uses less digits than its factorization.

1080581013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1080581013 is about 32872.1920930138. The cubic root of 1080581013 is about 1026.1695198848.

The spelling of 1080581013 in words is "one billion, eighty million, five hundred eighty-one thousand, thirteen".