6501829812 has 96 divisors (see below), whose sum is σ = 15989944320. Its totient is φ = 2053349760.

The previous prime is 6501829801. The next prime is 6501829823. The reversal of 6501829812 is 2189281056.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6501829801) and next prime (6501829823).

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, 10048873 + ... + 10049519.

It is an arithmetic number, because the mean of its divisors is an integer number (166561920).

Almost surely, 2^6501829812 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 6501829812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994972160).

6501829812 is an abundant number, since it is smaller than the sum of its proper divisors (9488114508).

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

6501829812 is a wasteful number, since it uses less digits than its factorization.

6501829812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 6501829812 is about 80633.9246967429. The cubic root of 6501829812 is about 1866.4306848938.

It can be divided in two parts, 65018 and 29812, that added together give a triangular number (94830 = T₄₃₅).

The spelling of 6501829812 in words is "six billion, five hundred one million, eight hundred twenty-nine thousand, eight hundred twelve".