5035245600 has 432 divisors, whose sum is σ = 20597056704. Its totient is φ = 1045862400.

The previous prime is 5035245599. The next prime is 5035245601. The reversal of 5035245600 is 65425305.

It is an interprime number because it is at equal distance from previous prime (5035245599) and next prime (5035245601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5035245601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2031562 + ... + 2034038.

It is an arithmetic number, because the mean of its divisors is an integer number (47678372).

Almost surely, 2^5035245600 is an apocalyptic number.

5035245600 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 5035245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298528352).

5035245600 is an abundant number, since it is smaller than the sum of its proper divisors (15561811104).

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

5035245600 is a wasteful number, since it uses less digits than its factorization.

5035245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5035245600 is about 70959.4644850143. The cubic root of 5035245600 is about 1713.9844843733.

The spelling of 5035245600 in words is "five billion, thirty-five million, two hundred forty-five thousand, six hundred".