2541680513 has 2 divisors, whose sum is σ = 2541680514. Its totient is φ = 2541680512.

The previous prime is 2541680459. The next prime is 2541680539. The reversal of 2541680513 is 3150861452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2539454449 + 2226064 = 50393^2 + 1492^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541680513 - 2¹⁴ = 2541664129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2541680563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270840256 + 1270840257.

It is an arithmetic number, because the mean of its divisors is an integer number (1270840257).

Almost surely, 2^2541680513 is an apocalyptic number.

It is an amenable number.

2541680513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541680513 is an equidigital number, since it uses as much as digits as its factorization.

2541680513 is an evil number, because the sum of its binary digits is even.

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

The square root of 2541680513 is about 50415.0821976916. The cubic root of 2541680513 is about 1364.7098298614.

The spelling of 2541680513 in words is "two billion, five hundred forty-one million, six hundred eighty thousand, five hundred thirteen".