948755582521 has 48 divisors (see below), whose sum is σ = 1052482844160. Its totient is φ = 854109941760.

The previous prime is 948755582513. The next prime is 948755582557. The reversal of 948755582521 is 125285557849.

It is a happy number.

It is not a de Polignac number, because 948755582521 - 2³ = 948755582513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 948755582521.

It is not an unprimeable number, because it can be changed into a prime (948755583521) 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 47 ways as a sum of consecutive naturals, for example, 568456675 + ... + 568458343.

It is an arithmetic number, because the mean of its divisors is an integer number (21926725920).

Almost surely, 2^948755582521 is an apocalyptic number.

It is an amenable number.

948755582521 is a deficient number, since it is larger than the sum of its proper divisors (103727261639).

948755582521 is a wasteful number, since it uses less digits than its factorization.

948755582521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2417 counting only the distinct ones).

The product of its digits is 40320000, while the sum is 61.

The spelling of 948755582521 in words is "nine hundred forty-eight billion, seven hundred fifty-five million, five hundred eighty-two thousand, five hundred twenty-one".