825311253 has 16 divisors (see below), whose sum is σ = 1185704576. Its totient is φ = 507608640.

The previous prime is 825311239. The next prime is 825311287. The reversal of 825311253 is 352113528.

It is not a de Polignac number, because 825311253 - 2¹⁰ = 825310229 is a prime.

It is a super-2 number, since 2×825311253² = 1362277328656860018, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825311253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825311353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85551 + ... + 94707.

It is an arithmetic number, because the mean of its divisors is an integer number (74106536).

Almost surely, 2^825311253 is an apocalyptic number.

It is an amenable number.

825311253 is a deficient number, since it is larger than the sum of its proper divisors (360393323).

825311253 is a wasteful number, since it uses less digits than its factorization.

825311253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484.

The product of its digits is 7200, while the sum is 30.

The square root of 825311253 is about 28728.2309410099. The cubic root of 825311253 is about 938.0066606032.

The spelling of 825311253 in words is "eight hundred twenty-five million, three hundred eleven thousand, two hundred fifty-three".