2538145601 has 2 divisors, whose sum is σ = 2538145602. Its totient is φ = 2538145600.

The previous prime is 2538145529. The next prime is 2538145607. The reversal of 2538145601 is 1065418352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2532504976 + 5640625 = 50324^2 + 2375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2538145601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2538145607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1269072800 + 1269072801.

It is an arithmetic number, because the mean of its divisors is an integer number (1269072801).

Almost surely, 2^2538145601 is an apocalyptic number.

It is an amenable number.

2538145601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538145601 is an equidigital number, since it uses as much as digits as its factorization.

2538145601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 2538145601 is about 50380.0119194111. The cubic root of 2538145601 is about 1364.0768671046.

The spelling of 2538145601 in words is "two billion, five hundred thirty-eight million, one hundred forty-five thousand, six hundred one".