828588253 has 6 divisors (see below), whose sum is σ = 838698494. Its totient is φ = 818598456.

The previous prime is 828588227. The next prime is 828588269. The reversal of 828588253 is 352885828.

It can be written as a sum of positive squares in only one way, i.e., 536246649 + 292341604 = 23157^2 + 17098^2 .

It is not a de Polignac number, because 828588253 - 2⁵ = 828588221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828588197 and 828588206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828588223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53250 + ... + 67027.

Almost surely, 2^828588253 is an apocalyptic number.

828588253 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

828588253 is a deficient number, since it is larger than the sum of its proper divisors (10110241).

828588253 is an equidigital number, since it uses as much as digits as its factorization.

828588253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120443 (or 120360 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 49.

The square root of 828588253 is about 28785.2089275030. The cubic root of 828588253 is about 939.2465113877.

The spelling of 828588253 in words is "eight hundred twenty-eight million, five hundred eighty-eight thousand, two hundred fifty-three".