9953597337601 has 2 divisors, whose sum is σ = 9953597337602. Its totient is φ = 9953597337600.

The previous prime is 9953597337473. The next prime is 9953597337617. The reversal of 9953597337601 is 1067337953599.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8283689859600 + 1669907478001 = 2878140^2 + 1292249^2 .

It is an emirp because it is prime and its reverse (1067337953599) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9953597337601 - 2⁷ = 9953597337473 is a prime.

It is a super-3 number, since 3×9953597337601³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (9953597337641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4976798668800 + 4976798668801.

It is an arithmetic number, because the mean of its divisors is an integer number (4976798668801).

Almost surely, 2^{9953597337601} is an apocalyptic number.

It is an amenable number.

9953597337601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9953597337601 is an equidigital number, since it uses as much as digits as its factorization.

9953597337601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144670050, while the sum is 67.

The spelling of 9953597337601 in words is "nine trillion, nine hundred fifty-three billion, five hundred ninety-seven million, three hundred thirty-seven thousand, six hundred one".