10253312 has 88 divisors (see below), whose sum is σ = 23581440. Its totient is φ = 4423680.

The previous prime is 10253311. The next prime is 10253333. The reversal of 10253312 is 21335201.

10253312 = 53³ + 54³ + ... + 83³.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253311) 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, 330737 + ... + 330767.

Almost surely, 2^10253312 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 10253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790720).

10253312 is an abundant number, since it is smaller than the sum of its proper divisors (13328128).

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

10253312 is a wasteful number, since it uses less digits than its factorization.

10253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10253312 is about 3202.0793244390. The cubic root of 10253312 is about 217.2474683911.

Adding to 10253312 its reverse (21335201), we get a palindrome (31588513).

The spelling of 10253312 in words is "ten million, two hundred fifty-three thousand, three hundred twelve".