5251068000 has 480 divisors, whose sum is σ = 20311331040. Its totient is φ = 1325030400.

The previous prime is 5251067971. The next prime is 5251068013. The reversal of 5251068000 is 8601525.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6155574 + ... + 6156426.

It is an arithmetic number, because the mean of its divisors is an integer number (42315273).

Almost surely, 2^5251068000 is an apocalyptic number.

5251068000 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 5251068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155665520).

5251068000 is an abundant number, since it is smaller than the sum of its proper divisors (15060263040).

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

5251068000 is a wasteful number, since it uses less digits than its factorization.

5251068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5251068000 is about 72464.2532563470. The cubic root of 5251068000 is about 1738.1311683083.

Adding to 5251068000 its reverse (8601525), we get a palindrome (5259669525).

The spelling of 5251068000 in words is "five billion, two hundred fifty-one million, sixty-eight thousand".