126059792401 has 3 divisors (see below), whose sum is σ = 126060147451. Its totient is φ = 126059437352.

The previous prime is 126059792393. The next prime is 126059792437. The reversal of 126059792401 is 104297950621.

The square root of 126059792401 is 355049.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 104297950621 = 31729 ⋅3287149.

It can be written as a sum of positive squares in only one way, i.e., 124609706001 + 1450086400 = 353001^2 + 38080^2 .

It is not a de Polignac number, because 126059792401 - 2³ = 126059792393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126059792701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 177525 + ... + 532573.

Almost surely, 2^126059792401 is an apocalyptic number.

126059792401 is the 355049-th square number.

126059792401 is the 177525-th centered octagonal number.

It is an amenable number.

126059792401 is a deficient number, since it is larger than the sum of its proper divisors (355050).

126059792401 is an frugal number, since it uses more digits than its factorization.

126059792401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710098 (or 355049 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 126059792401 in words is "one hundred twenty-six billion, fifty-nine million, seven hundred ninety-two thousand, four hundred one".