948751973521 has 27 divisors (see below), whose sum is σ = 1058196671217. Its totient is φ = 849985392960.

The previous prime is 948751973513. The next prime is 948751973551. The reversal of 948751973521 is 125379157849.

The square root of 948751973521 is 974039.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 229478363521 + 719273610000 = 479039^2 + 848100^2 .

It is not a de Polignac number, because 948751973521 - 2³ = 948751973513 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 948751973521.

It is not an unprimeable number, because it can be changed into a prime (948751973551) 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 26 ways as a sum of consecutive naturals, for example, 782152711 + ... + 782153923.

Almost surely, 2^948751973521 is an apocalyptic number.

948751973521 is the 974039-th square number.

948751973521 is the 487020-th centered octagonal number.

It is an amenable number.

948751973521 is a deficient number, since it is larger than the sum of its proper divisors (109444697696).

948751973521 is an frugal number, since it uses more digits than its factorization.

948751973521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1297 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 61.

The spelling of 948751973521 in words is "nine hundred forty-eight billion, seven hundred fifty-one million, nine hundred seventy-three thousand, five hundred twenty-one".