248633507505 has 16 divisors (see below), whose sum is σ = 399464296704. Its totient is φ = 132054309120.

The previous prime is 248633507503. The next prime is 248633507509. The reversal of 248633507505 is 505705336842.

It is a happy number.

It is not a de Polignac number, because 248633507505 - 2¹ = 248633507503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248633507503) 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, 34385529 + ... + 34392758.

It is an arithmetic number, because the mean of its divisors is an integer number (24966518544).

Almost surely, 2^248633507505 is an apocalyptic number.

It is an amenable number.

248633507505 is a deficient number, since it is larger than the sum of its proper divisors (150830789199).

248633507505 is a wasteful number, since it uses less digits than its factorization.

248633507505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68778536.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 248633507505 in words is "two hundred forty-eight billion, six hundred thirty-three million, five hundred seven thousand, five hundred five".