122782553 has 2 divisors, whose sum is σ = 122782554. Its totient is φ = 122782552.

The previous prime is 122782519. The next prime is 122782559. The reversal of 122782553 is 355287221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95199049 + 27583504 = 9757^2 + 5252^2 .

It is an emirp because it is prime and its reverse (355287221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122782553 - 2¹⁶ = 122717017 is a prime.

It is not a weakly prime, because it can be changed into another prime (122782559) 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, 61391276 + 61391277.

It is an arithmetic number, because the mean of its divisors is an integer number (61391277).

Almost surely, 2^122782553 is an apocalyptic number.

It is an amenable number.

122782553 is a deficient number, since it is larger than the sum of its proper divisors (1).

122782553 is an equidigital number, since it uses as much as digits as its factorization.

122782553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33600, while the sum is 35.

The square root of 122782553 is about 11080.7289020172. The cubic root of 122782553 is about 497.0257467159.

The spelling of 122782553 in words is "one hundred twenty-two million, seven hundred eighty-two thousand, five hundred fifty-three".