248633507553 has 8 divisors (see below), whose sum is σ = 331513780416. Its totient is φ = 165754453200.

The previous prime is 248633507509. The next prime is 248633507581. The reversal of 248633507553 is 355705336842.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 248633507553 - 2⁶ = 248633507489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 248633507496 and 248633507505.

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 7 ways as a sum of consecutive naturals, for example, 412983 + ... + 817203.

It is an arithmetic number, because the mean of its divisors is an integer number (41439222552).

Almost surely, 2^248633507553 is an apocalyptic number.

It is an amenable number.

248633507553 is a deficient number, since it is larger than the sum of its proper divisors (82880272863).

248633507553 is a wasteful number, since it uses less digits than its factorization.

248633507553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609255.

The product of its (nonzero) digits is 9072000, while the sum is 51.

The spelling of 248633507553 in words is "two hundred forty-eight billion, six hundred thirty-three million, five hundred seven thousand, five hundred fifty-three".