123257577629 has 2 divisors, whose sum is σ = 123257577630. Its totient is φ = 123257577628.

The previous prime is 123257577623. The next prime is 123257577643. The reversal of 123257577629 is 926775752321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101616225529 + 21641352100 = 318773^2 + 147110^2 .

It is a cyclic number.

It is not a de Polignac number, because 123257577629 - 2¹⁶ = 123257512093 is a prime.

It is a super-2 number, since 2×123257577629² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123257577623) 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, 61628788814 + 61628788815.

It is an arithmetic number, because the mean of its divisors is an integer number (61628788815).

Almost surely, 2^123257577629 is an apocalyptic number.

It is an amenable number.

123257577629 is a deficient number, since it is larger than the sum of its proper divisors (1).

123257577629 is an equidigital number, since it uses as much as digits as its factorization.

123257577629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11113200, while the sum is 56.

The spelling of 123257577629 in words is "one hundred twenty-three billion, two hundred fifty-seven million, five hundred seventy-seven thousand, six hundred twenty-nine".