10009512 has 24 divisors (see below), whose sum is σ = 27109290. Its totient is φ = 3336480.

The previous prime is 10009511. The next prime is 10009567. The reversal of 10009512 is 21590001.

10009512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7918596 + 2090916 = 2814^2 + 1446^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10009511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69439 + ... + 69582.

Almost surely, 2^10009512 is an apocalyptic number.

10009512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10009512 is an abundant number, since it is smaller than the sum of its proper divisors (17099778).

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

10009512 is a wasteful number, since it uses less digits than its factorization.

10009512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139033 (or 139026 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10009512 is about 3163.7812819473. The cubic root of 10009512 is about 215.5117572984.

Adding to 10009512 its reverse (21590001), we get a palindrome (31599513).

The spelling of 10009512 in words is "ten million, nine thousand, five hundred twelve".