5082405972 has 96 divisors (see below), whose sum is σ = 13729481472. Its totient is φ = 1433327616.

The previous prime is 5082405967. The next prime is 5082405973. The reversal of 5082405972 is 2795042805.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082405973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628318 + ... + 2630250.

It is an arithmetic number, because the mean of its divisors is an integer number (143015432).

Almost surely, 2^5082405972 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 5082405972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864740736).

5082405972 is an abundant number, since it is smaller than the sum of its proper divisors (8647075500).

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

5082405972 is a wasteful number, since it uses less digits than its factorization.

5082405972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5082405972 is about 71290.9950274226. The cubic root of 5082405972 is about 1719.3189538247.

The spelling of 5082405972 in words is "five billion, eighty-two million, four hundred five thousand, nine hundred seventy-two".