6531000 has 128 divisors (see below), whose sum is σ = 23362560. Its totient is φ = 1488000.

The previous prime is 6530999. The next prime is 6531029. The reversal of 6531000 is 1356.

It is a super-2 number, since 2×6531000² = 85307922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20845 + ... + 21155.

It is an arithmetic number, because the mean of its divisors is an integer number (182520).

Almost surely, 2^6531000 is an apocalyptic number.

6531000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681280).

6531000 is an abundant number, since it is smaller than the sum of its proper divisors (16831560).

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

6531000 is a wasteful number, since it uses less digits than its factorization.

6531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 6531000 is about 2555.5821254657. The cubic root of 6531000 is about 186.9217742149.

Adding to 6531000 its reverse (1356), we get a palindrome (6532356).

It can be divided in two parts, 653 and 1000, that added together give a triangular number (1653 = T₅₇).

The spelling of 6531000 in words is "six million, five hundred thirty-one thousand".