126356401 has 2 divisors, whose sum is σ = 126356402. Its totient is φ = 126356400.

The previous prime is 126356311. The next prime is 126356429. The reversal of 126356401 is 104653621.

It is an a-pointer prime, because the next prime (126356429) can be obtained adding 126356401 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125978176 + 378225 = 11224^2 + 615^2 .

It is a cyclic number.

It is not a de Polignac number, because 126356401 - 2¹⁷ = 126225329 is a prime.

It is a super-4 number, since 4×126356401⁴ (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126356401.

It is not a weakly prime, because it can be changed into another prime (126356101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63178200 + 63178201.

It is an arithmetic number, because the mean of its divisors is an integer number (63178201).

Almost surely, 2^126356401 is an apocalyptic number.

It is an amenable number.

126356401 is a deficient number, since it is larger than the sum of its proper divisors (1).

126356401 is an equidigital number, since it uses as much as digits as its factorization.

126356401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 126356401 is about 11240.8363123035. The cubic root of 126356401 is about 501.8020322240.

The spelling of 126356401 in words is "one hundred twenty-six million, three hundred fifty-six thousand, four hundred one".