2251524605647 has 2 divisors, whose sum is σ = 2251524605648. Its totient is φ = 2251524605646.

The previous prime is 2251524605639. The next prime is 2251524605669. The reversal of 2251524605647 is 7465064251522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2251524605647 - 2³ = 2251524605639 is a prime.

It is a super-3 number, since 3×2251524605647³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2251524605647.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2251524605947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125762302823 + 1125762302824.

It is an arithmetic number, because the mean of its divisors is an integer number (1125762302824).

Almost surely, 2^{2251524605647} is an apocalyptic number.

2251524605647 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251524605647 is an equidigital number, since it uses as much as digits as its factorization.

2251524605647 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032000, while the sum is 49.

The spelling of 2251524605647 in words is "two trillion, two hundred fifty-one billion, five hundred twenty-four million, six hundred five thousand, six hundred forty-seven".