10353152 has 40 divisors (see below), whose sum is σ = 21045156. Its totient is φ = 5087232.

The previous prime is 10353139. The next prime is 10353191. The reversal of 10353152 is 25135301.

It can be written as a sum of positive squares in 2 ways, for example, as 10137856 + 215296 = 3184^2 + 464^2 .

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 3 ways as a sum of consecutive naturals, for example, 37238 + ... + 37514.

Almost surely, 2^10353152 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 10353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10522578).

10353152 is an abundant number, since it is smaller than the sum of its proper divisors (10692004).

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

10353152 is an frugal number, since it uses more digits than its factorization.

10353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 10353152 is about 3217.6314269972. The cubic root of 10353152 is about 217.9503295640.

Adding to 10353152 its reverse (25135301), we get a palindrome (35488453).

The spelling of 10353152 in words is "ten million, three hundred fifty-three thousand, one hundred fifty-two".