1005052664 has 32 divisors (see below), whose sum is σ = 2349475200. Its totient is φ = 391578720.

The previous prime is 1005052651. The next prime is 1005052693. The reversal of 1005052664 is 4662505001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815174 + ... + 816405.

It is an arithmetic number, because the mean of its divisors is an integer number (73421100).

Almost surely, 2^1005052664 is an apocalyptic number.

1005052664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005052664 is an abundant number, since it is smaller than the sum of its proper divisors (1344422536).

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

1005052664 is a wasteful number, since it uses less digits than its factorization.

1005052664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631603 (or 1631599 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1005052664 is about 31702.5655744137. The cubic root of 1005052664 is about 1001.6813926676.

Adding to 1005052664 its reverse (4662505001), we get a palindrome (5667557665).

The spelling of 1005052664 in words is "one billion, five million, fifty-two thousand, six hundred sixty-four".