5005125133 has 2 divisors, whose sum is σ = 5005125134. Its totient is φ = 5005125132.

The previous prime is 5005125131. The next prime is 5005125149. The reversal of 5005125133 is 3315215005.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4989585769 + 15539364 = 70637^2 + 3942^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005125133 - 2¹ = 5005125131 is a prime.

It is a super-3 number, since 3×5005125133³ (a number of 30 digits) contains 333 as substring.

Together with 5005125131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 5005125098 and 5005125107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005125131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502562566 + 2502562567.

It is an arithmetic number, because the mean of its divisors is an integer number (2502562567).

Almost surely, 2^5005125133 is an apocalyptic number.

It is an amenable number.

5005125133 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005125133 is an equidigital number, since it uses as much as digits as its factorization.

5005125133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 5005125133 is about 70746.9089996164. The cubic root of 5005125133 is about 1710.5600041076.

The spelling of 5005125133 in words is "five billion, five million, one hundred twenty-five thousand, one hundred thirty-three".