3621242157601 has 2 divisors, whose sum is σ = 3621242157602. Its totient is φ = 3621242157600.

The previous prime is 3621242157587. The next prime is 3621242157613. The reversal of 3621242157601 is 1067512421263.

3621242157601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2379232210576 + 1242009947025 = 1542476^2 + 1114455^2 .

It is a cyclic number.

It is not a de Polignac number, because 3621242157601 - 2¹⁹ = 3621241633313 is a prime.

It is a super-3 number, since 3×3621242157601³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (3621242157691) 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 as a sum of consecutive naturals, namely, 1810621078800 + 1810621078801.

It is an arithmetic number, because the mean of its divisors is an integer number (1810621078801).

Almost surely, 2^{3621242157601} is an apocalyptic number.

It is an amenable number.

3621242157601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3621242157601 is an equidigital number, since it uses as much as digits as its factorization.

3621242157601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 3621242157601 its reverse (1067512421263), we get a palindrome (4688754578864).

The spelling of 3621242157601 in words is "three trillion, six hundred twenty-one billion, two hundred forty-two million, one hundred fifty-seven thousand, six hundred one".