6537825 has 54 divisors (see below), whose sum is σ = 13644774. Its totient is φ = 2983680.

The previous prime is 6537821. The next prime is 6537859. The reversal of 6537825 is 5287356.

6537825 = 341² + 342² + ... + 389².

It can be written as a sum of positive squares in 3 ways, for example, as 603729 + 5934096 = 777^2 + 2436^2 .

It is not a de Polignac number, because 6537825 - 2² = 6537821 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 6537825.

It is not an unprimeable number, because it can be changed into a prime (6537821) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10729 + ... + 11321.

It is an arithmetic number, because the mean of its divisors is an integer number (252681).

Almost surely, 2^6537825 is an apocalyptic number.

It is an amenable number.

6537825 is an abundant number, since it is smaller than the sum of its proper divisors (7106949).

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

6537825 is a wasteful number, since it uses less digits than its factorization.

6537825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 608 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 6537825 is about 2556.9170889960. The cubic root of 6537825 is about 186.9868636334.

The spelling of 6537825 in words is "six million, five hundred thirty-seven thousand, eight hundred twenty-five".