125613803801 has 2 divisors, whose sum is σ = 125613803802. Its totient is φ = 125613803800.

The previous prime is 125613803737. The next prime is 125613803803. The reversal of 125613803801 is 108308316521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122416014400 + 3197789401 = 349880^2 + 56549^2 .

It is an emirp because it is prime and its reverse (108308316521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125613803801 - 2⁶ = 125613803737 is a prime.

It is a super-2 number, since 2×125613803801² (a number of 23 digits) contains 22 as substring.

Together with 125613803803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (125613803803) 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, 62806901900 + 62806901901.

It is an arithmetic number, because the mean of its divisors is an integer number (62806901901).

Almost surely, 2^125613803801 is an apocalyptic number.

It is an amenable number.

125613803801 is a deficient number, since it is larger than the sum of its proper divisors (1).

125613803801 is an equidigital number, since it uses as much as digits as its factorization.

125613803801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 125613803801 in words is "one hundred twenty-five billion, six hundred thirteen million, eight hundred three thousand, eight hundred one".