5005061050541 has 2 divisors, whose sum is σ = 5005061050542. Its totient is φ = 5005061050540.

The previous prime is 5005061050477. The next prime is 5005061050543. The reversal of 5005061050541 is 1450501605005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4969555562500 + 35505488041 = 2229250^2 + 188429^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005061050541 - 2⁶ = 5005061050477 is a prime.

It is a super-2 number, since 2×5005061050541² (a number of 26 digits) contains 22 as substring.

Together with 5005061050543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 5005061050498 and 5005061050507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005061050543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502530525270 + 2502530525271.

It is an arithmetic number, because the mean of its divisors is an integer number (2502530525271).

Almost surely, 2^{5005061050541} is an apocalyptic number.

It is an amenable number.

5005061050541 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005061050541 is an equidigital number, since it uses as much as digits as its factorization.

5005061050541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15000, while the sum is 32.

Adding to 5005061050541 its reverse (1450501605005), we get a palindrome (6455562655546).

The spelling of 5005061050541 in words is "five trillion, five billion, sixty-one million, fifty thousand, five hundred forty-one".