5082505740 has 288 divisors, whose sum is σ = 17428320000. Its totient is φ = 1190412288.

The previous prime is 5082505733. The next prime is 5082505741. The reversal of 5082505740 is 475052805.

It is a happy number.

5082505740 is a `hidden beast` number, since 5 + 0 + 82 + 5 + 0 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5082505695 and 5082505704.

It is not an unprimeable number, because it can be changed into a prime (5082505741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4068636 + ... + 4069884.

It is an arithmetic number, because the mean of its divisors is an integer number (60515000).

Almost surely, 2^5082505740 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 5082505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160000).

5082505740 is an abundant number, since it is smaller than the sum of its proper divisors (12345814260).

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

5082505740 is a wasteful number, since it uses less digits than its factorization.

5082505740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5082505740 is about 71291.6947477054. The cubic root of 5082505740 is about 1719.3302038699.

The spelling of 5082505740 in words is "five billion, eighty-two million, five hundred five thousand, seven hundred forty".