1005512064 has 32 divisors (see below), whose sum is σ = 2670892440. Its totient is φ = 335170560.

The previous prime is 1005512033. The next prime is 1005512069. The reversal of 1005512064 is 4602155001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1005512064² = 2022109021699080192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005512069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1308877 + ... + 1309644.

Almost surely, 2^1005512064 is an apocalyptic number.

It is an amenable number.

1005512064 is an abundant number, since it is smaller than the sum of its proper divisors (1665380376).

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

1005512064 is an equidigital number, since it uses as much as digits as its factorization.

1005512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618538 (or 2618526 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1005512064 is about 31709.8102170291. The cubic root of 1005512064 is about 1001.8339890945.

Adding to 1005512064 its reverse (4602155001), we get a palindrome (5607667065).

The spelling of 1005512064 in words is "one billion, five million, five hundred twelve thousand, sixty-four".