248913517 has 2 divisors, whose sum is σ = 248913518. Its totient is φ = 248913516.

The previous prime is 248913491. The next prime is 248913527. The reversal of 248913517 is 715319842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131537961 + 117375556 = 11469^2 + 10834^2 .

It is a cyclic number.

It is not a de Polignac number, because 248913517 - 2²³ = 240524909 is a prime.

It is a super-3 number, since 3×248913517³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248913517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248913527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124456758 + 124456759.

It is an arithmetic number, because the mean of its divisors is an integer number (124456759).

Almost surely, 2^248913517 is an apocalyptic number.

It is an amenable number.

248913517 is a deficient number, since it is larger than the sum of its proper divisors (1).

248913517 is an equidigital number, since it uses as much as digits as its factorization.

248913517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 40.

The square root of 248913517 is about 15776.9932813575. The cubic root of 248913517 is about 629.0466111957.

The spelling of 248913517 in words is "two hundred forty-eight million, nine hundred thirteen thousand, five hundred seventeen".