248826001 has 2 divisors, whose sum is σ = 248826002. Its totient is φ = 248826000.

The previous prime is 248825987. The next prime is 248826013. The reversal of 248826001 is 100628842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157126225 + 91699776 = 12535^2 + 9576^2 .

It is a cyclic number.

It is not a de Polignac number, because 248826001 - 2²⁵ = 215271569 is a prime.

It is not a weakly prime, because it can be changed into another prime (248826041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124413000 + 124413001.

It is an arithmetic number, because the mean of its divisors is an integer number (124413001).

Almost surely, 2^248826001 is an apocalyptic number.

It is an amenable number.

248826001 is a deficient number, since it is larger than the sum of its proper divisors (1).

248826001 is an equidigital number, since it uses as much as digits as its factorization.

248826001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 248826001 is about 15774.2195052560. The cubic root of 248826001 is about 628.9728799696.

The spelling of 248826001 in words is "two hundred forty-eight million, eight hundred twenty-six thousand, one".