126251256401 has 2 divisors, whose sum is σ = 126251256402. Its totient is φ = 126251256400.

The previous prime is 126251256367. The next prime is 126251256409. The reversal of 126251256401 is 104652152621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87246981376 + 39004275025 = 295376^2 + 197495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126251256401 is a prime.

It is a super-3 number, since 3×126251256401³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (126251256409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63125628200 + 63125628201.

It is an arithmetic number, because the mean of its divisors is an integer number (63125628201).

Almost surely, 2^126251256401 is an apocalyptic number.

It is an amenable number.

126251256401 is a deficient number, since it is larger than the sum of its proper divisors (1).

126251256401 is an equidigital number, since it uses as much as digits as its factorization.

126251256401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 126251256401 in words is "one hundred twenty-six billion, two hundred fifty-one million, two hundred fifty-six thousand, four hundred one".