126725655577753 has 2 divisors, whose sum is σ = 126725655577754. Its totient is φ = 126725655577752.

The previous prime is 126725655577711. The next prime is 126725655577777. The reversal of 126725655577753 is 357775556527621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95525074858249 + 31200580719504 = 9773693^2 + 5585748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126725655577753 is a prime.

It is a super-2 number, since 2×126725655577753² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (126725655577253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63362827788876 + 63362827788877.

It is an arithmetic number, because the mean of its divisors is an integer number (63362827788877).

Almost surely, 2^{126725655577753} is an apocalyptic number.

It is an amenable number.

126725655577753 is a deficient number, since it is larger than the sum of its proper divisors (1).

126725655577753 is an equidigital number, since it uses as much as digits as its factorization.

126725655577753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3241350000, while the sum is 73.

The spelling of 126725655577753 in words is "one hundred twenty-six trillion, seven hundred twenty-five billion, six hundred fifty-five million, five hundred seventy-seven thousand, seven hundred fifty-three".