248528801 has 2 divisors, whose sum is σ = 248528802. Its totient is φ = 248528800.

The previous prime is 248528789. The next prime is 248528807. The reversal of 248528801 is 108825842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128845201 + 119683600 = 11351^2 + 10940^2 .

It is a cyclic number.

It is not a de Polignac number, because 248528801 - 2¹⁴ = 248512417 is a prime.

It is not a weakly prime, because it can be changed into another prime (248528807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124264400 + 124264401.

It is an arithmetic number, because the mean of its divisors is an integer number (124264401).

Almost surely, 2^248528801 is an apocalyptic number.

It is an amenable number.

248528801 is a deficient number, since it is larger than the sum of its proper divisors (1).

248528801 is an equidigital number, since it uses as much as digits as its factorization.

248528801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 248528801 is about 15764.7962562159. The cubic root of 248528801 is about 628.7223632598.

The spelling of 248528801 in words is "two hundred forty-eight million, five hundred twenty-eight thousand, eight hundred one".