248572801 has 16 divisors (see below), whose sum is σ = 268934400. Its totient is φ = 229004928.

The previous prime is 248572777. The next prime is 248572813. The reversal of 248572801 is 108275842.

248572801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 248572801 - 2⁵ = 248572769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248572901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153685 + ... + 155293.

It is an arithmetic number, because the mean of its divisors is an integer number (16808400).

Almost surely, 2^248572801 is an apocalyptic number.

It is an amenable number.

248572801 is a deficient number, since it is larger than the sum of its proper divisors (20361599).

248572801 is a wasteful number, since it uses less digits than its factorization.

248572801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848.

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 248572801 is about 15766.1917088433. The cubic root of 248572801 is about 628.7594644616.

It can be divided in two parts, 248 and 572801, that added together give a square (573049 = 757²).

The spelling of 248572801 in words is "two hundred forty-eight million, five hundred seventy-two thousand, eight hundred one".