22524455020513 has 2 divisors, whose sum is σ = 22524455020514. Its totient is φ = 22524455020512.

The previous prime is 22524455020423. The next prime is 22524455020517. The reversal of 22524455020513 is 31502055442522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20804244401889 + 1720210618624 = 4561167^2 + 1311568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22524455020513 is a prime.

It is a super-2 number, since 2×22524455020513² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22524455020517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11262227510256 + 11262227510257.

It is an arithmetic number, because the mean of its divisors is an integer number (11262227510257).

Almost surely, 2^{22524455020513} is an apocalyptic number.

It is an amenable number.

22524455020513 is a deficient number, since it is larger than the sum of its proper divisors (1).

22524455020513 is an equidigital number, since it uses as much as digits as its factorization.

22524455020513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 22524455020513 in words is "twenty-two trillion, five hundred twenty-four billion, four hundred fifty-five million, twenty thousand, five hundred thirteen".