5005100501 has 2 divisors, whose sum is σ = 5005100502. Its totient is φ = 5005100500.

The previous prime is 5005100491. The next prime is 5005100549. The reversal of 5005100501 is 1050015005.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4889645476 + 115455025 = 69926^2 + 10745^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005100501 - 2⁶ = 5005100437 is a prime.

It is a super-2 number, since 2×5005100501² = 50102062050220902002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5005100501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005100561) 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 as a sum of consecutive naturals, namely, 2502550250 + 2502550251.

It is an arithmetic number, because the mean of its divisors is an integer number (2502550251).

Almost surely, 2^5005100501 is an apocalyptic number.

It is an amenable number.

5005100501 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005100501 is an equidigital number, since it uses as much as digits as its factorization.

5005100501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 5005100501 is about 70746.7349140580. The cubic root of 5005100501 is about 1710.5571980117.

Adding to 5005100501 its reverse (1050015005), we get a palindrome (6055115506).

The spelling of 5005100501 in words is "five billion, five million, one hundred thousand, five hundred one".