5058001000000 has 441 divisors, whose sum is σ = 13664352887013. Its totient is φ = 1856774400000.

The previous prime is 5058000999977. The next prime is 5058001000001. The reversal of 5058001000000 is 1008505.

The square root of 5058001000000 is 2249000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 31 ways, for example, as 953778811456 + 4104222188544 = 976616^2 + 2025888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5058001000001) 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 62 ways as a sum of consecutive naturals, for example, 29236999914 + ... + 29237000086.

Almost surely, 2^{5058001000000} is an apocalyptic number.

5058001000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5058001000000 is the 2249000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5058001000000

5058001000000 is an abundant number, since it is smaller than the sum of its proper divisors (8606351887013).

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

5058001000000 is an frugal number, since it uses more digits than its factorization.

5058001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 5058001000000 its reverse (1008505), we get a palindrome (5058002008505).

The spelling of 5058001000000 in words is "five trillion, fifty-eight billion, one million", and thus it is an aban number and an uban number.