97641875529 has 81 divisors (see below), whose sum is σ = 164977288021. Its totient is φ = 55595907840.

The previous prime is 97641875479. The next prime is 97641875561. The reversal of 97641875529 is 92557814679.

The square root of 97641875529 is 312477.

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

97641875529 is a `hidden beast` number, since 9 + 7 + 64 + 18 + 7 + 552 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3454265529 + 94187610000 = 58773^2 + 306900^2 .

It is not a de Polignac number, because 97641875529 - 2⁹ = 97641875017 is a prime.

It is a Duffinian number.

Its product of digits (38102400) is a multiple of the sum of its prime divisors (588).

It is not an unprimeable number, because it can be changed into a prime (97641875629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 175299319 + ... + 175299875.

Almost surely, 2^97641875529 is an apocalyptic number.

97641875529 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

97641875529 is the 312477-th square number.

97641875529 is the 156239-th centered octagonal number.

It is an amenable number.

97641875529 is a deficient number, since it is larger than the sum of its proper divisors (67335412492).

97641875529 is a wasteful number, since it uses less digits than its factorization.

97641875529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 97641875529 in words is "ninety-seven billion, six hundred forty-one million, eight hundred seventy-five thousand, five hundred twenty-nine".