5251334004 has 168 divisors, whose sum is σ = 15812229888. Its totient is φ = 1494158400.

The previous prime is 5251333991. The next prime is 5251334027. The reversal of 5251334004 is 4004331525.

5251334004 is a `hidden beast` number, since 5 + 251 + 3 + 3 + 400 + 4 = 666.

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7490854 + ... + 7491554.

It is an arithmetic number, because the mean of its divisors is an integer number (94120416).

Almost surely, 2^5251334004 is an apocalyptic number.

5251334004 is a gapful number since it is divisible by the number (54) 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 5251334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906114944).

5251334004 is an abundant number, since it is smaller than the sum of its proper divisors (10560895884).

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

5251334004 is a wasteful number, since it uses less digits than its factorization.

5251334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5251334004 is about 72466.0886484154. The cubic root of 5251334004 is about 1738.1605173878.

Adding to 5251334004 its reverse (4004331525), we get a palindrome (9255665529).

The spelling of 5251334004 in words is "five billion, two hundred fifty-one million, three hundred thirty-four thousand, four".