248852967309 has 16 divisors (see below), whose sum is σ = 370581283200. Its totient is φ = 165042379008.

The previous prime is 248852967299. The next prime is 248852967353. The reversal of 248852967309 is 903769258842.

248852967309 is a `hidden beast` number, since 2 + 48 + 8 + 529 + 67 + 3 + 0 + 9 = 666.

It is not a de Polignac number, because 248852967309 - 2⁹ = 248852966797 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248852967509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23872449 + ... + 23882870.

It is an arithmetic number, because the mean of its divisors is an integer number (23161330200).

Almost surely, 2^248852967309 is an apocalyptic number.

It is an amenable number.

248852967309 is a deficient number, since it is larger than the sum of its proper divisors (121728315891).

248852967309 is a wasteful number, since it uses less digits than its factorization.

248852967309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47755521 (or 47755515 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 248852967309 in words is "two hundred forty-eight billion, eight hundred fifty-two million, nine hundred sixty-seven thousand, three hundred nine".