125636414401 has 2 divisors, whose sum is σ = 125636414402. Its totient is φ = 125636414400.

The previous prime is 125636414383. The next prime is 125636414419. The reversal of 125636414401 is 104414636521.

It is a balanced prime because it is at equal distance from previous prime (125636414383) and next prime (125636414419).

It can be written as a sum of positive squares in only one way, i.e., 122236941376 + 3399473025 = 349624^2 + 58305^2 .

It is a cyclic number.

It is not a de Polignac number, because 125636414401 - 2⁵ = 125636414369 is a prime.

It is not a weakly prime, because it can be changed into another prime (125636414471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62818207200 + 62818207201.

It is an arithmetic number, because the mean of its divisors is an integer number (62818207201).

Almost surely, 2^125636414401 is an apocalyptic number.

It is an amenable number.

125636414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

125636414401 is an equidigital number, since it uses as much as digits as its factorization.

125636414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 125636414401 in words is "one hundred twenty-five billion, six hundred thirty-six million, four hundred fourteen thousand, four hundred one".