1625289128201 has 2 divisors, whose sum is σ = 1625289128202. Its totient is φ = 1625289128200.

The previous prime is 1625289128191. The next prime is 1625289128207. The reversal of 1625289128201 is 1028219825261.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1124236090000 + 501053038201 = 1060300^2 + 707851^2 .

It is a cyclic number.

It is not a de Polignac number, because 1625289128201 - 2³⁴ = 1608109259017 is a prime.

It is a super-2 number, since 2×1625289128201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1625289128207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 812644564100 + 812644564101.

It is an arithmetic number, because the mean of its divisors is an integer number (812644564101).

Almost surely, 2^{1625289128201} is an apocalyptic number.

It is an amenable number.

1625289128201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1625289128201 is an equidigital number, since it uses as much as digits as its factorization.

1625289128201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 1625289128201 in words is "one trillion, six hundred twenty-five billion, two hundred eighty-nine million, one hundred twenty-eight thousand, two hundred one".