5006436500 has 96 divisors (see below), whose sum is σ = 11821354272. Its totient is φ = 1841280000.

The previous prime is 5006436499. The next prime is 5006436509. The reversal of 5006436500 is 56346005.

It can be written as a sum of positive squares in 16 ways, for example, as 4378733584 + 627702916 = 66172^2 + 25054^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006436509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825130 + ... + 1827870.

It is an arithmetic number, because the mean of its divisors is an integer number (123139107).

Almost surely, 2^5006436500 is an apocalyptic number.

5006436500 is a gapful number since it is divisible by the number (50) 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 5006436500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910677136).

5006436500 is an abundant number, since it is smaller than the sum of its proper divisors (6814917772).

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

5006436500 is a wasteful number, since it uses less digits than its factorization.

5006436500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 5006436500 is about 70756.1764088479. The cubic root of 5006436500 is about 1710.7093827280.

The spelling of 5006436500 in words is "five billion, six million, four hundred thirty-six thousand, five hundred".