248764577 has 2 divisors, whose sum is σ = 248764578. Its totient is φ = 248764576.

The previous prime is 248764543. The next prime is 248764603. The reversal of 248764577 is 775467842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125798656 + 122965921 = 11216^2 + 11089^2 .

It is a cyclic number.

It is not a de Polignac number, because 248764577 - 2¹⁰ = 248763553 is a prime.

It is not a weakly prime, because it can be changed into another prime (248764177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124382288 + 124382289.

It is an arithmetic number, because the mean of its divisors is an integer number (124382289).

Almost surely, 2^248764577 is an apocalyptic number.

It is an amenable number.

248764577 is a deficient number, since it is larger than the sum of its proper divisors (1).

248764577 is an equidigital number, since it uses as much as digits as its factorization.

248764577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2634240, while the sum is 50.

The square root of 248764577 is about 15772.2724107847. The cubic root of 248764577 is about 628.9211206284.

The spelling of 248764577 in words is "two hundred forty-eight million, seven hundred sixty-four thousand, five hundred seventy-seven".