10005512 has 32 divisors (see below), whose sum is σ = 20783520. Its totient is φ = 4477440.

The previous prime is 10005511. The next prime is 10005539. The reversal of 10005512 is 21550001.

It is a super-2 number, since 2×10005512² = 200220540764288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5048 + ... + 6744.

It is an arithmetic number, because the mean of its divisors is an integer number (649485).

Almost surely, 2^10005512 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 10005512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391760).

10005512 is an abundant number, since it is smaller than the sum of its proper divisors (10778008).

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

10005512 is a wasteful number, since it uses less digits than its factorization.

10005512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 10005512 is about 3163.1490638286. The cubic root of 10005512 is about 215.4830458792.

Adding to 10005512 its reverse (21550001), we get a palindrome (31555513).

The spelling of 10005512 in words is "ten million, five thousand, five hundred twelve".