248985752843521 has 4 divisors (see below), whose sum is σ = 248985788802772. Its totient is φ = 248985716884272.

The previous prime is 248985752843491. The next prime is 248985752843573. The reversal of 248985752843521 is 125348257589842.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 196831920902400 + 52153831941121 = 14029680^2 + 7221761^2 .

It is a cyclic number.

It is not a de Polignac number, because 248985752843521 - 2¹¹ = 248985752841473 is a prime.

It is a super-3 number, since 3×248985752843521³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248985752843591) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3938166 + ... + 22660111.

It is an arithmetic number, because the mean of its divisors is an integer number (62246447200693).

Almost surely, 2^{248985752843521} is an apocalyptic number.

It is an amenable number.

248985752843521 is a deficient number, since it is larger than the sum of its proper divisors (35959251).

248985752843521 is an equidigital number, since it uses as much as digits as its factorization.

248985752843521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35959250.

The product of its digits is 1548288000, while the sum is 73.

The spelling of 248985752843521 in words is "two hundred forty-eight trillion, nine hundred eighty-five billion, seven hundred fifty-two million, eight hundred forty-three thousand, five hundred twenty-one".