22752013 has 2 divisors, whose sum is σ = 22752014. Its totient is φ = 22752012.

The previous prime is 22751977. The next prime is 22752017. The reversal of 22752013 is 31025722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13972644 + 8779369 = 3738^2 + 2963^2 .

It is a cyclic number.

It is not a de Polignac number, because 22752013 - 2¹³ = 22743821 is a prime.

It is a super-3 number, since 3×22752013³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22752017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11376006 + 11376007.

It is an arithmetic number, because the mean of its divisors is an integer number (11376007).

Almost surely, 2^22752013 is an apocalyptic number.

It is an amenable number.

22752013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22752013 is an equidigital number, since it uses as much as digits as its factorization.

22752013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 22752013 is about 4769.9070221546. The cubic root of 22752013 is about 283.3609125019.

Adding to 22752013 its reverse (31025722), we get a palindrome (53777735).

The spelling of 22752013 in words is "twenty-two million, seven hundred fifty-two thousand, thirteen".