9975484243201 has 9 divisors (see below), whose sum is σ = 10097384181699. Its totient is φ = 9855038697336.

The previous prime is 9975484243199. The next prime is 9975484243237. The reversal of 9975484243201 is 1023424845799.

The square root of 9975484243201 is 3158399.

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

It can be written as a sum of positive squares in only one way, i.e., 4170642106225 + 5804842136976 = 2042215^2 + 2409324^2 .

It is not a de Polignac number, because 9975484243201 - 2¹ = 9975484243199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9975484243001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 262128091 + ... + 262166143.

Almost surely, 2^{9975484243201} is an apocalyptic number.

9975484243201 is the 3158399-th square number.

9975484243201 is the 1579200-th centered octagonal number.

It is an amenable number.

9975484243201 is a deficient number, since it is larger than the sum of its proper divisors (121899938498).

9975484243201 is an frugal number, since it uses more digits than its factorization.

9975484243201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76272 (or 38136 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 9975484243201 in words is "nine trillion, nine hundred seventy-five billion, four hundred eighty-four million, two hundred forty-three thousand, two hundred one".