8725228248701 has 2 divisors, whose sum is σ = 8725228248702. Its totient is φ = 8725228248700.

The previous prime is 8725228248683. The next prime is 8725228248703. The reversal of 8725228248701 is 1078428225278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8723575744900 + 1652503801 = 2953570^2 + 40651^2 .

It is a cyclic number.

It is not a de Polignac number, because 8725228248701 - 2²² = 8725224054397 is a prime.

It is a super-2 number, since 2×8725228248701² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 8725228248703, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8725228248703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4362614124350 + 4362614124351.

It is an arithmetic number, because the mean of its divisors is an integer number (4362614124351).

Almost surely, 2^{8725228248701} is an apocalyptic number.

It is an amenable number.

8725228248701 is a deficient number, since it is larger than the sum of its proper divisors (1).

8725228248701 is an equidigital number, since it uses as much as digits as its factorization.

8725228248701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8028160, while the sum is 56.

The spelling of 8725228248701 in words is "eight trillion, seven hundred twenty-five billion, two hundred twenty-eight million, two hundred forty-eight thousand, seven hundred one".