10005031300025 has 6 divisors (see below), whose sum is σ = 12406238812062. Its totient is φ = 8004025040000.

The previous prime is 10005031300021. The next prime is 10005031300027. The reversal of 10005031300025 is 52000313050001.

It can be written as a sum of positive squares in 3 ways, for example, as 2353904651536 + 7651126648489 = 1534244^2 + 2766067^2 .

It is not a de Polignac number, because 10005031300025 - 2² = 10005031300021 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005031300021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200100625976 + ... + 200100626025.

It is an arithmetic number, because the mean of its divisors is an integer number (2067706468677).

Almost surely, 2^{10005031300025} is an apocalyptic number.

It is an amenable number.

10005031300025 is a deficient number, since it is larger than the sum of its proper divisors (2401207512037).

10005031300025 is an equidigital number, since it uses as much as digits as its factorization.

10005031300025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400201252011 (or 400201252006 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 10005031300025 its reverse (52000313050001), we get a palindrome (62005344350026).

The spelling of 10005031300025 in words is "ten trillion, five billion, thirty-one million, three hundred thousand, twenty-five".