5006253600 has 360 divisors, whose sum is σ = 19056280320. Its totient is φ = 1276577280.

The previous prime is 5006253599. The next prime is 5006253667. The reversal of 5006253600 is 63526005.

5006253600 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 2 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 1488721 + ... + 1492079.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112).

Almost surely, 2^5006253600 is an apocalyptic number.

5006253600 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 5006253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528140160).

5006253600 is an abundant number, since it is smaller than the sum of its proper divisors (14050026720).

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

5006253600 is a wasteful number, since it uses less digits than its factorization.

5006253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5006253600 is about 70754.8839303691. The cubic root of 5006253600 is about 1710.6885500421.

Adding to 5006253600 its reverse (63526005), we get a palindrome (5069779605).

The spelling of 5006253600 in words is "five billion, six million, two hundred fifty-three thousand, six hundred".