5258301300 has 432 divisors, whose sum is σ = 20574794240. Its totient is φ = 1137939840.

The previous prime is 5258301299. The next prime is 5258301317. The reversal of 5258301300 is 31038525.

5258301300 is a `hidden beast` number, since 5 + 2 + 58 + 301 + 300 = 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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3231087 + ... + 3232713.

Almost surely, 2^5258301300 is an apocalyptic number.

5258301300 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 5258301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287397120).

5258301300 is an abundant number, since it is smaller than the sum of its proper divisors (15316492940).

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

5258301300 is a wasteful number, since it uses less digits than its factorization.

5258301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5258301300 is about 72514.1455165818. The cubic root of 5258301300 is about 1738.9288889366.

Adding to 5258301300 its reverse (31038525), we get a palindrome (5289339825).

The spelling of 5258301300 in words is "five billion, two hundred fifty-eight million, three hundred one thousand, three hundred".