2546643601 has 2 divisors, whose sum is σ = 2546643602. Its totient is φ = 2546643600.

The previous prime is 2546643581. The next prime is 2546643607. The reversal of 2546643601 is 1063466452.

2546643601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1695462976 + 851180625 = 41176^2 + 29175^2 .

It is a cyclic number.

It is not a de Polignac number, because 2546643601 - 2²³ = 2538254993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2546643607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1273321800 + 1273321801.

It is an arithmetic number, because the mean of its divisors is an integer number (1273321801).

Almost surely, 2^2546643601 is an apocalyptic number.

It is an amenable number.

2546643601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2546643601 is an equidigital number, since it uses as much as digits as its factorization.

2546643601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2546643601 is about 50464.2804466684. The cubic root of 2546643601 is about 1365.5975327163.

The spelling of 2546643601 in words is "two billion, five hundred forty-six million, six hundred forty-three thousand, six hundred one".