1005316536 has 128 divisors (see below), whose sum is σ = 2963520000. Its totient is φ = 284046336.

The previous prime is 1005316469. The next prime is 1005316537. The reversal of 1005316536 is 6356135001.

It is a super-2 number, since 2×1005316536² = 2021322675110078592, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005316537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797875 + ... + 799133.

It is an arithmetic number, because the mean of its divisors is an integer number (23152500).

Almost surely, 2^1005316536 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 1005316536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760000).

1005316536 is an abundant number, since it is smaller than the sum of its proper divisors (1958203464).

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

1005316536 is a wasteful number, since it uses less digits than its factorization.

1005316536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 1005316536 is about 31706.7269834021. The cubic root of 1005316536 is about 1001.7690472929.

The spelling of 1005316536 in words is "one billion, five million, three hundred sixteen thousand, five hundred thirty-six".