7735728125101 has 2 divisors, whose sum is σ = 7735728125102. Its totient is φ = 7735728125100.

The previous prime is 7735728125093. The next prime is 7735728125129. The reversal of 7735728125101 is 1015218275377.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4461705675625 + 3274022449476 = 2112275^2 + 1809426^2 .

It is a cyclic number.

It is not a de Polignac number, because 7735728125101 - 2³ = 7735728125093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7735728125401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3867864062550 + 3867864062551.

It is an arithmetic number, because the mean of its divisors is an integer number (3867864062551).

Almost surely, 2^{7735728125101} is an apocalyptic number.

It is an amenable number.

7735728125101 is a deficient number, since it is larger than the sum of its proper divisors (1).

7735728125101 is an equidigital number, since it uses as much as digits as its factorization.

7735728125101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 823200, while the sum is 49.

The spelling of 7735728125101 in words is "seven trillion, seven hundred thirty-five billion, seven hundred twenty-eight million, one hundred twenty-five thousand, one hundred one".