2501201567 has 2 divisors, whose sum is σ = 2501201568. Its totient is φ = 2501201566.

The previous prime is 2501201557. The next prime is 2501201569. The reversal of 2501201567 is 7651021052.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2501201567 - 2¹⁸ = 2500939423 is a prime.

Together with 2501201569, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2501201569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250600783 + 1250600784.

It is an arithmetic number, because the mean of its divisors is an integer number (1250600784).

Almost surely, 2^2501201567 is an apocalyptic number.

2501201567 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501201567 is an equidigital number, since it uses as much as digits as its factorization.

2501201567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 2501201567 is about 50012.0142265836. The cubic root of 2501201567 is about 1357.4262104469.

The spelling of 2501201567 in words is "two billion, five hundred one million, two hundred one thousand, five hundred sixty-seven".