97597782547281 has 81 divisors (see below), whose sum is σ = 151390589227059. Its totient is φ = 60576157790208.

The previous prime is 97597782547273. The next prime is 97597782547357. The reversal of 97597782547281 is 18274528779579.

The square root of 97597782547281 is 9879159.

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

97597782547281 is a `hidden beast` number, since 9 + 7 + 59 + 7 + 78 + 25 + 472 + 8 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 82601650217025 + 14996132330256 = 9088545^2 + 3872484^2 .

It is not a de Polignac number, because 97597782547281 - 2³ = 97597782547273 is a prime.

It is a super-2 number, since 2×97597782547281² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97597782547281.

It is not an unprimeable number, because it can be changed into a prime (97597782547081) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48872198575 + ... + 48872200571.

Almost surely, 2^{97597782547281} is an apocalyptic number.

97597782547281 is the 9879159-th square number.

97597782547281 is the 4939580-th centered octagonal number.

It is an amenable number.

97597782547281 is a deficient number, since it is larger than the sum of its proper divisors (53792806679778).

97597782547281 is an frugal number, since it uses more digits than its factorization.

97597782547281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 2114 counting only the distinct ones).

The product of its digits is 4978713600, while the sum is 81.

The spelling of 97597782547281 in words is "ninety-seven trillion, five hundred ninety-seven billion, seven hundred eighty-two million, five hundred forty-seven thousand, two hundred eighty-one".