825018876 has 144 divisors (see below), whose sum is σ = 2330415360. Its totient is φ = 244016640.

The previous prime is 825018847. The next prime is 825018919. The reversal of 825018876 is 678810528.

It is a super-2 number, since 2×825018876² = 1361312291512606752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4608955 + ... + 4609133.

It is an arithmetic number, because the mean of its divisors is an integer number (16183440).

Almost surely, 2^825018876 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 825018876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165207680).

825018876 is an abundant number, since it is smaller than the sum of its proper divisors (1505396484).

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

825018876 is a wasteful number, since it uses less digits than its factorization.

825018876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 825018876 is about 28723.1418197940. The cubic root of 825018876 is about 937.8958805936.

The spelling of 825018876 in words is "eight hundred twenty-five million, eighteen thousand, eight hundred seventy-six".