97065825135601 has 27 divisors (see below), whose sum is σ = 116943539430081. Its totient is φ = 80328682873824.

The previous prime is 97065825135577. The next prime is 97065825135637. The reversal of 97065825135601 is 10653152856079.

It is a happy number.

The square root of 97065825135601 is 9852199.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19368228874225 + 77697596261376 = 4400935^2 + 8814624^2 .

It is not a de Polignac number, because 97065825135601 - 2²¹ = 97065823038449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97065825135901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1999972131 + ... + 2000020663.

Almost surely, 2^{97065825135601} is an apocalyptic number.

97065825135601 is the 9852199-th square number.

97065825135601 is the 4926100-th centered octagonal number.

It is an amenable number.

97065825135601 is a deficient number, since it is larger than the sum of its proper divisors (19877714294480).

97065825135601 is an frugal number, since it uses more digits than its factorization.

97065825135601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97138 (or 48569 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 97065825135601 in words is "ninety-seven trillion, sixty-five billion, eight hundred twenty-five million, one hundred thirty-five thousand, six hundred one".