948506531569 has 27 divisors (see below), whose sum is σ = 1026006842731. Its totient is φ = 876677526080.

The previous prime is 948506531563. The next prime is 948506531579. The reversal of 948506531569 is 965135605849.

The square root of 948506531569 is 973913.

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

It can be written as a sum of positive squares in only one way, i.e., 738456642225 + 210049889344 = 859335^2 + 458312^2 .

It is not a de Polignac number, because 948506531569 - 2³ = 948506531561 is a prime.

It is a super-2 number, since 2×948506531569² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (948506531561) 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 26 ways as a sum of consecutive naturals, for example, 976834254 + ... + 976835224.

Almost surely, 2^948506531569 is an apocalyptic number.

948506531569 is the 973913-rd square number.

948506531569 is the 486957-th centered octagonal number.

It is an amenable number.

948506531569 is a deficient number, since it is larger than the sum of its proper divisors (77500311162).

948506531569 is an frugal number, since it uses more digits than its factorization.

948506531569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 61.

The spelling of 948506531569 in words is "nine hundred forty-eight billion, five hundred six million, five hundred thirty-one thousand, five hundred sixty-nine".