8252688001 has 2 divisors, whose sum is σ = 8252688002. Its totient is φ = 8252688000.

The previous prime is 8252687951. The next prime is 8252688023. The reversal of 8252688001 is 1008862528.

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., 5233075600 + 3019612401 = 72340^2 + 54951^2 .

It is a cyclic number.

It is not a de Polignac number, because 8252688001 - 2¹⁹ = 8252163713 is a prime.

It is not a weakly prime, because it can be changed into another prime (8252688061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4126344000 + 4126344001.

It is an arithmetic number, because the mean of its divisors is an integer number (4126344001).

Almost surely, 2^8252688001 is an apocalyptic number.

It is an amenable number.

8252688001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8252688001 is an equidigital number, since it uses as much as digits as its factorization.

8252688001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 8252688001 is about 90844.3063763492. The cubic root of 8252688001 is about 2020.8394381426.

The spelling of 8252688001 in words is "eight billion, two hundred fifty-two million, six hundred eighty-eight thousand, one".