10511253 has 48 divisors (see below), whose sum is σ = 17521920. Its totient is φ = 6031872.

The previous prime is 10511251. The next prime is 10511257. The reversal of 10511253 is 35211501.

It is not a de Polignac number, because 10511253 - 2¹ = 10511251 is a prime.

It is a super-2 number, since 2×10511253² = 220972879260018, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102000 + ... + 102102.

It is an arithmetic number, because the mean of its divisors is an integer number (365040).

Almost surely, 2^10511253 is an apocalyptic number.

It is an amenable number.

10511253 is a deficient number, since it is larger than the sum of its proper divisors (7010667).

10511253 is a wasteful number, since it uses less digits than its factorization.

10511253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10511253 is about 3242.1062598255. The cubic root of 10511253 is about 219.0541556193.

Adding to 10511253 its reverse (35211501), we get a palindrome (45722754).

It can be divided in two parts, 1051 and 1253, that added together give a square (2304 = 48²).

The spelling of 10511253 in words is "ten million, five hundred eleven thousand, two hundred fifty-three".