825125500 has 48 divisors (see below), whose sum is σ = 1806281568. Its totient is φ = 329280000.

The previous prime is 825125479. The next prime is 825125513. The reversal of 825125500 is 5521528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243820 + ... + 247180.

It is an arithmetic number, because the mean of its divisors is an integer number (37630866).

Almost surely, 2^825125500 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 825125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903140784).

825125500 is an abundant number, since it is smaller than the sum of its proper divisors (981156068).

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

825125500 is a wasteful number, since it uses less digits than its factorization.

825125500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 825125500 is about 28724.9978241949. The cubic root of 825125500 is about 937.9362828622.

The spelling of 825125500 in words is "eight hundred twenty-five million, one hundred twenty-five thousand, five hundred".