97547552401 has 8 divisors (see below), whose sum is σ = 105097540520. Its totient is φ = 90004182912.

The previous prime is 97547552371. The next prime is 97547552407. The reversal of 97547552401 is 10425574579.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2153052801 + 95394499600 = 46401^2 + 308860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97547552401 - 2⁵ = 97547552369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97547552407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1624020 + ... + 1683013.

It is an arithmetic number, because the mean of its divisors is an integer number (13137192565).

Almost surely, 2^97547552401 is an apocalyptic number.

It is an amenable number.

97547552401 is a deficient number, since it is larger than the sum of its proper divisors (7549988119).

97547552401 is a wasteful number, since it uses less digits than its factorization.

97547552401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309315.

The product of its (nonzero) digits is 1764000, while the sum is 49.

The spelling of 97547552401 in words is "ninety-seven billion, five hundred forty-seven million, five hundred fifty-two thousand, four hundred one".