825241500 has 96 divisors (see below), whose sum is σ = 2670158400. Its totient is φ = 220060800.

The previous prime is 825241499. The next prime is 825241513. The reversal of 825241500 is 5142528.

It is a happy number.

825241500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17065 + ... + 44064.

It is an arithmetic number, because the mean of its divisors is an integer number (27814150).

Almost surely, 2^825241500 is an apocalyptic number.

It is an amenable number.

825241500 is an abundant number, since it is smaller than the sum of its proper divisors (1844916900).

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

825241500 is a wasteful number, since it uses less digits than its factorization.

825241500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61157 (or 61139 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 825241500 is about 28727.0169004719. The cubic root of 825241500 is about 937.9802339584.

The spelling of 825241500 in words is "eight hundred twenty-five million, two hundred forty-one thousand, five hundred".