47597712561 has 45 divisors (see below), whose sum is σ = 82735260201. Its totient is φ = 27190838808.

The previous prime is 47597712553. The next prime is 47597712601. The reversal of 47597712561 is 16521779574.

The square root of 47597712561 is 218169.

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

47597712561 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 7 + 71 + 2 + 561 = 666.

It is not a de Polignac number, because 47597712561 - 2³ = 47597712553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47597712498 and 47597712507.

It is not an unprimeable number, because it can be changed into a prime (47597712541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13742916 + ... + 13746378.

Almost surely, 2^47597712561 is an apocalyptic number.

47597712561 is the 218169-th square number.

47597712561 is the 109085-th centered octagonal number.

It is an amenable number.

47597712561 is a deficient number, since it is larger than the sum of its proper divisors (35137547640).

47597712561 is an frugal number, since it uses more digits than its factorization.

47597712561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 3473 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The spelling of 47597712561 in words is "forty-seven billion, five hundred ninety-seven million, seven hundred twelve thousand, five hundred sixty-one".