9306537561 has 24 divisors (see below), whose sum is σ = 13789254024. Its totient is φ = 6044855040.

The previous prime is 9306537553. The next prime is 9306537563. The reversal of 9306537561 is 1657356039.

9306537561 is a `hidden beast` number, since 9 + 30 + 6 + 53 + 7 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48441600 + 9258095961 = 6960^2 + 96219^2 .

It is not a de Polignac number, because 9306537561 - 2³ = 9306537553 is a prime.

It is a super-2 number, since 2×9306537561² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9306537563) 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 23 ways as a sum of consecutive naturals, for example, 262675 + ... + 295991.

It is an arithmetic number, because the mean of its divisors is an integer number (574552251).

Almost surely, 2^9306537561 is an apocalyptic number.

It is an amenable number.

9306537561 is a deficient number, since it is larger than the sum of its proper divisors (4482716463).

9306537561 is a wasteful number, since it uses less digits than its factorization.

9306537561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34121 (or 34118 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 9306537561 is about 96470.3973299582. The cubic root of 9306537561 is about 2103.4363663006.

The spelling of 9306537561 in words is "nine billion, three hundred six million, five hundred thirty-seven thousand, five hundred sixty-one".