10509252 has 96 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 2956800.

The previous prime is 10509251. The next prime is 10509259. The reversal of 10509252 is 25290501.

It is a super-2 number, since 2×10509252² = 220888755199008, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10509251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104002 + ... + 104102.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 2^10509252 is an apocalyptic number.

10509252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

10509252 is an abundant number, since it is smaller than the sum of its proper divisors (18279228).

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

10509252 is a wasteful number, since it uses less digits than its factorization.

10509252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10509252 is about 3241.7976494532. The cubic root of 10509252 is about 219.0402544798.

Adding to 10509252 its reverse (25290501), we get a palindrome (35799753).

The spelling of 10509252 in words is "ten million, five hundred nine thousand, two hundred fifty-two".