93532600561 has 9 divisors (see below), whose sum is σ = 97783399371. Its totient is φ = 89459237472.

The previous prime is 93532600547. The next prime is 93532600583. The reversal of 93532600561 is 16500623539.

It is a happy number.

The square root of 93532600561 is 305831.

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., 351375025 + 93181225536 = 18745^2 + 305256^2 .

It is not a de Polignac number, because 93532600561 - 2²⁹ = 92995729649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93532600361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7027465 + ... + 7040761.

Almost surely, 2^93532600561 is an apocalyptic number.

93532600561 is the 305831-st square number.

93532600561 is the 152916-th centered octagonal number.

It is an amenable number.

93532600561 is a deficient number, since it is larger than the sum of its proper divisors (4250798810).

93532600561 is an frugal number, since it uses more digits than its factorization.

93532600561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26640 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 93532600561 in words is "ninety-three billion, five hundred thirty-two million, six hundred thousand, five hundred sixty-one".