1005135664 has 80 divisors (see below), whose sum is σ = 2199171744. Its totient is φ = 441907200.

The previous prime is 1005135653. The next prime is 1005135683. The reversal of 1005135664 is 4665315001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365334 + ... + 368074.

Almost surely, 2^1005135664 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 1005135664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099585872).

1005135664 is an abundant number, since it is smaller than the sum of its proper divisors (1194036080).

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

1005135664 is a wasteful number, since it uses less digits than its factorization.

1005135664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1005135664 is about 31703.8745897091. The cubic root of 1005135664 is about 1001.7089657723.

The spelling of 1005135664 in words is "one billion, five million, one hundred thirty-five thousand, six hundred sixty-four".