2503661441 has 2 divisors, whose sum is σ = 2503661442. Its totient is φ = 2503661440.

The previous prime is 2503661431. The next prime is 2503661449. The reversal of 2503661441 is 1441663052.

2503661441 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., 1404075841 + 1099585600 = 37471^2 + 33160^2 .

It is a cyclic number.

It is not a de Polignac number, because 2503661441 - 2¹⁴ = 2503645057 is a prime.

It is a super-2 number, since 2×2503661441² = 12536641222300392962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2503661398 and 2503661407.

It is not a weakly prime, because it can be changed into another prime (2503661449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1251830720 + 1251830721.

It is an arithmetic number, because the mean of its divisors is an integer number (1251830721).

Almost surely, 2^2503661441 is an apocalyptic number.

It is an amenable number.

2503661441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2503661441 is an equidigital number, since it uses as much as digits as its factorization.

2503661441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2503661441 is about 50036.6010136580. The cubic root of 2503661441 is about 1357.8710637582.

The spelling of 2503661441 in words is "two billion, five hundred three million, six hundred sixty-one thousand, four hundred forty-one".