948052570753 has 16 divisors (see below), whose sum is σ = 1005880498560. Its totient is φ = 891954448000.

The previous prime is 948052570733. The next prime is 948052570781. The reversal of 948052570753 is 357075250849.

It is a cyclic number.

It is not a de Polignac number, because 948052570753 - 2¹⁷ = 948052439681 is a prime.

It is a super-3 number, since 3×948052570753³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 948052570694 and 948052570703.

It is not an unprimeable number, because it can be changed into a prime (948052570733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501228 + ... + 1465378.

It is an arithmetic number, because the mean of its divisors is an integer number (62867531160).

Almost surely, 2^948052570753 is an apocalyptic number.

It is an amenable number.

948052570753 is a deficient number, since it is larger than the sum of its proper divisors (57827927807).

948052570753 is a wasteful number, since it uses less digits than its factorization.

948052570753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965048.

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 948052570753 in words is "nine hundred forty-eight billion, fifty-two million, five hundred seventy thousand, seven hundred fifty-three".