10253152 has 72 divisors (see below), whose sum is σ = 25338096. Its totient is φ = 4048128.

The previous prime is 10253149. The next prime is 10253161. The reversal of 10253152 is 25135201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20133 + ... + 20635.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 2^10253152 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 10253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048).

10253152 is an abundant number, since it is smaller than the sum of its proper divisors (15084944).

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

10253152 is a wasteful number, since it uses less digits than its factorization.

10253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 10253152 is about 3202.0543405757. The cubic root of 10253152 is about 217.2463383571.

Adding to 10253152 its reverse (25135201), we get a palindrome (35388353).

The spelling of 10253152 in words is "ten million, two hundred fifty-three thousand, one hundred fifty-two".