10415272841 has 2 divisors, whose sum is σ = 10415272842. Its totient is φ = 10415272840.

The previous prime is 10415272823. The next prime is 10415272843. The reversal of 10415272841 is 14827251401.

10415272841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9375855241 + 1039417600 = 96829^2 + 32240^2 .

It is a cyclic number.

It is not a de Polignac number, because 10415272841 - 2¹⁴ = 10415256457 is a prime.

It is a super-2 number, since 2×10415272841² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 10415272843, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10415272843) 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, 5207636420 + 5207636421.

It is an arithmetic number, because the mean of its divisors is an integer number (5207636421).

Almost surely, 2^10415272841 is an apocalyptic number.

It is an amenable number.

10415272841 is a deficient number, since it is larger than the sum of its proper divisors (1).

10415272841 is an equidigital number, since it uses as much as digits as its factorization.

10415272841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 10415272841 in words is "ten billion, four hundred fifteen million, two hundred seventy-two thousand, eight hundred forty-one".