8241153013 has 2 divisors, whose sum is σ = 8241153014. Its totient is φ = 8241153012.

The previous prime is 8241152963. The next prime is 8241153017. The reversal of 8241153013 is 3103511428.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6000361444 + 2240791569 = 77462^2 + 47337^2 .

It is a cyclic number.

It is not a de Polignac number, because 8241153013 - 2⁹ = 8241152501 is a prime.

It is a super-3 number, since 3×8241153013³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8241153017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4120576506 + 4120576507.

It is an arithmetic number, because the mean of its divisors is an integer number (4120576507).

Almost surely, 2^8241153013 is an apocalyptic number.

It is an amenable number.

8241153013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8241153013 is an equidigital number, since it uses as much as digits as its factorization.

8241153013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 8241153013 is about 90780.7964990394. The cubic root of 8241153013 is about 2019.8974732297.

It can be divided in two parts, 82411 and 53013, that added together give a square (135424 = 368²).

The spelling of 8241153013 in words is "eight billion, two hundred forty-one million, one hundred fifty-three thousand, thirteen".