125967496049 has 2 divisors, whose sum is σ = 125967496050. Its totient is φ = 125967496048.

The previous prime is 125967496037. The next prime is 125967496051. The reversal of 125967496049 is 940694769521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96609072400 + 29358423649 = 310820^2 + 171343^2 .

It is a cyclic number.

It is not a de Polignac number, because 125967496049 - 2²⁰ = 125966447473 is a prime.

It is a super-2 number, since 2×125967496049² (a number of 23 digits) contains 22 as substring.

Together with 125967496051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 125967495982 and 125967496000.

It is not a weakly prime, because it can be changed into another prime (125967406049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62983748024 + 62983748025.

It is an arithmetic number, because the mean of its divisors is an integer number (62983748025).

Almost surely, 2^125967496049 is an apocalyptic number.

It is an amenable number.

125967496049 is a deficient number, since it is larger than the sum of its proper divisors (1).

125967496049 is an equidigital number, since it uses as much as digits as its factorization.

125967496049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29393280, while the sum is 62.

The spelling of 125967496049 in words is "one hundred twenty-five billion, nine hundred sixty-seven million, four hundred ninety-six thousand, forty-nine".