1005313036 has 48 divisors (see below), whose sum is σ = 2202036480. Its totient is φ = 390957120.

The previous prime is 1005313031. The next prime is 1005313061. The reversal of 1005313036 is 6303135001.

It is a junction number, because it is equal to n+sod(n) for n = 1005312998 and 1005313016.

It is not an unprimeable number, because it can be changed into a prime (1005313031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 44881.

It is an arithmetic number, because the mean of its divisors is an integer number (45875760).

Almost surely, 2^1005313036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005313036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101018240).

1005313036 is an abundant number, since it is smaller than the sum of its proper divisors (1196723444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005313036 is a wasteful number, since it uses less digits than its factorization.

1005313036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46894 (or 46892 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 1005313036 is about 31706.6717900192. The cubic root of 1005313036 is about 1001.7678847417.

Adding to 1005313036 its reverse (6303135001), we get a palindrome (7308448037).

The spelling of 1005313036 in words is "one billion, five million, three hundred thirteen thousand, thirty-six".