5250141600 has 432 divisors, whose sum is σ = 19075966560. Its totient is φ = 1253120000.

The previous prime is 5250141599. The next prime is 5250141601. The reversal of 5250141600 is 61410525.

It is an interprime number because it is at equal distance from previous prime (5250141599) and next prime (5250141601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5250141601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29330311 + ... + 29330489.

It is an arithmetic number, because the mean of its divisors is an integer number (44157330).

Almost surely, 2^5250141600 is an apocalyptic number.

5250141600 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 5250141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537983280).

5250141600 is an abundant number, since it is smaller than the sum of its proper divisors (13825824960).

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

5250141600 is a wasteful number, since it uses less digits than its factorization.

5250141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5250141600 is about 72457.8608571906. The cubic root of 5250141600 is about 1738.0289478701.

The spelling of 5250141600 in words is "five billion, two hundred fifty million, one hundred forty-one thousand, six hundred".