1135284813 has 24 divisors (see below), whose sum is σ = 1782220440. Its totient is φ = 692219520.

The previous prime is 1135284763. The next prime is 1135284823. The reversal of 1135284813 is 3184825311.

1135284813 is a `hidden beast` number, since 113 + 528 + 4 + 8 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 174160809 + 961124004 = 13197^2 + 31002^2 .

It is not a de Polignac number, because 1135284813 - 2¹⁰ = 1135283789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135284823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31758 + ... + 57263.

It is an arithmetic number, because the mean of its divisors is an integer number (74259185).

Almost surely, 2^1135284813 is an apocalyptic number.

1135284813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1135284813 is a deficient number, since it is larger than the sum of its proper divisors (646935627).

1135284813 is a wasteful number, since it uses less digits than its factorization.

1135284813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89149 (or 89146 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1135284813 is about 33693.9877871409. The cubic root of 1135284813 is about 1043.2016758838.

It can be divided in two parts, 113528 and 4813, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 1135284813 in words is "one billion, one hundred thirty-five million, two hundred eighty-four thousand, eight hundred thirteen".