2613151604201 has 2 divisors, whose sum is σ = 2613151604202. Its totient is φ = 2613151604200.

The previous prime is 2613151604111. The next prime is 2613151604227. The reversal of 2613151604201 is 1024061513162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2569929610000 + 43221994201 = 1603100^2 + 207899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2613151604201 - 2¹⁰ = 2613151603177 is a prime.

It is a super-2 number, since 2×2613151604201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2613151604281) 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, 1306575802100 + 1306575802101.

It is an arithmetic number, because the mean of its divisors is an integer number (1306575802101).

Almost surely, 2^{2613151604201} is an apocalyptic number.

It is an amenable number.

2613151604201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2613151604201 is an equidigital number, since it uses as much as digits as its factorization.

2613151604201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 2613151604201 in words is "two trillion, six hundred thirteen billion, one hundred fifty-one million, six hundred four thousand, two hundred one".