827258250 has 512 divisors, whose sum is σ = 2898395136. Its totient is φ = 152064000.

The previous prime is 827258221. The next prime is 827258269. The reversal of 827258250 is 52852728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 827258199 and 827258208.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26685735 + ... + 26685765.

It is an arithmetic number, because the mean of its divisors is an integer number (5660928).

Almost surely, 2^827258250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827258250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449197568).

827258250 is an abundant number, since it is smaller than the sum of its proper divisors (2071136886).

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

827258250 is a wasteful number, since it uses less digits than its factorization.

827258250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 827258250 is about 28762.0974548102. The cubic root of 827258250 is about 938.7437004713.

The spelling of 827258250 in words is "eight hundred twenty-seven million, two hundred fifty-eight thousand, two hundred fifty".