248777813 has 8 divisors (see below), whose sum is σ = 268382808. Its totient is φ = 229725184.

The previous prime is 248777797. The next prime is 248777819. The reversal of 248777813 is 318777842.

It can be written as a sum of positive squares in 4 ways, for example, as 116596804 + 132181009 = 10798^2 + 11497^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 248777813 - 2⁴ = 248777797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248777819) 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 in 7 ways as a sum of consecutive naturals, for example, 137156 + ... + 138957.

It is an arithmetic number, because the mean of its divisors is an integer number (33547851).

Almost surely, 2^248777813 is an apocalyptic number.

It is an amenable number.

248777813 is a deficient number, since it is larger than the sum of its proper divisors (19604995).

248777813 is a wasteful number, since it uses less digits than its factorization.

248777813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276183.

The product of its digits is 526848, while the sum is 47.

The square root of 248777813 is about 15772.6920023184. The cubic root of 248777813 is about 628.9322747518.

The spelling of 248777813 in words is "two hundred forty-eight million, seven hundred seventy-seven thousand, eight hundred thirteen".