7485635942401 has 2 divisors, whose sum is σ = 7485635942402. Its totient is φ = 7485635942400.

The previous prime is 7485635942381. The next prime is 7485635942453. The reversal of 7485635942401 is 1042495365847.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7102971219600 + 382664722801 = 2665140^2 + 618599^2 .

It is a cyclic number.

It is not a de Polignac number, because 7485635942401 - 2³¹ = 7483488458753 is a prime.

It is not a weakly prime, because it can be changed into another prime (7485635942801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3742817971200 + 3742817971201.

It is an arithmetic number, because the mean of its divisors is an integer number (3742817971201).

It is a 1-persistent number, because it is pandigital, but 2⋅7485635942401 = 14971271884802 is not.

Almost surely, 2^{7485635942401} is an apocalyptic number.

It is an amenable number.

7485635942401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7485635942401 is an equidigital number, since it uses as much as digits as its factorization.

7485635942401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 7485635942401 in words is "seven trillion, four hundred eighty-five billion, six hundred thirty-five million, nine hundred forty-two thousand, four hundred one".