5082038010 has 320 divisors, whose sum is σ = 16693585920. Its totient is φ = 1084285440.

The previous prime is 5082038009. The next prime is 5082038029. The reversal of 5082038010 is 108302805.

It is a happy number.

It is a super-2 number, since 2×5082038010² = 51654220670169520200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5096832 + ... + 5097828.

It is an arithmetic number, because the mean of its divisors is an integer number (52167456).

Almost surely, 2^5082038010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082038010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346792960).

5082038010 is an abundant number, since it is smaller than the sum of its proper divisors (11611547910).

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

5082038010 is a wasteful number, since it uses less digits than its factorization.

5082038010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5082038010 is about 71288.4142760940. The cubic root of 5082038010 is about 1719.2774603986.

The spelling of 5082038010 in words is "five billion, eighty-two million, thirty-eight thousand, ten".