126293790278601 has 81 divisors (see below), whose sum is σ = 207686493956487. Its totient is φ = 73896029111520.

The previous prime is 126293790278569. The next prime is 126293790278699. The reversal of 126293790278601 is 106872097392621.

The square root of 126293790278601 is 11238051.

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

126293790278601 is a `hidden beast` number, since 1 + 2 + 6 + 293 + 79 + 0 + 278 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66225400134201 + 60068390144400 = 8137899^2 + 7750380^2 .

It is not a de Polignac number, because 126293790278601 - 2⁵ = 126293790278569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126293790278401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10754808936 + ... + 10754820678.

Almost surely, 2^{126293790278601} is an apocalyptic number.

126293790278601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126293790278601 is the 11238051-st square number.

126293790278601 is the 5619026-th centered octagonal number.

It is an amenable number.

126293790278601 is a deficient number, since it is larger than the sum of its proper divisors (81392703677886).

126293790278601 is an frugal number, since it uses more digits than its factorization.

126293790278601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23572 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 126293790278601 in words is "one hundred twenty-six trillion, two hundred ninety-three billion, seven hundred ninety million, two hundred seventy-eight thousand, six hundred one".