97133825569 has 27 divisors (see below), whose sum is σ = 110688797401. Its totient is φ = 85171264640.

The previous prime is 97133825567. The next prime is 97133825669. The reversal of 97133825569 is 96552833179.

The square root of 97133825569 is 311663.

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 26809150225 + 70324675344 = 163735^2 + 265188^2 .

It is not a de Polignac number, because 97133825569 - 2¹ = 97133825567 is a prime.

It is a super-2 number, since 2×97133825569² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97133825563) 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, 99420009 + ... + 99420985.

Almost surely, 2^97133825569 is an apocalyptic number.

97133825569 is the 311663-rd square number.

97133825569 is the 155832-nd centered octagonal number.

It is an amenable number.

97133825569 is a deficient number, since it is larger than the sum of its proper divisors (13554971832).

97133825569 is an frugal number, since it uses more digits than its factorization.

97133825569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 1017 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 58.

The spelling of 97133825569 in words is "ninety-seven billion, one hundred thirty-three million, eight hundred twenty-five thousand, five hundred sixty-nine".