126573004441 has 9 divisors (see below), whose sum is σ = 137063350431. Its totient is φ = 116832350232.

The previous prime is 126573004403. The next prime is 126573004451. The reversal of 126573004441 is 144400375621.

The square root of 126573004441 is 355771.

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

It can be written as a sum of positive squares in only one way, i.e., 18723817225 + 107849187216 = 136835^2 + 328404^2 .

It is not a de Polignac number, because 126573004441 - 2¹⁷ = 126572873369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126573004441.

It is not an unprimeable number, because it can be changed into a prime (126573004451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4611340 + ... + 4638706.

It is an arithmetic number, because the mean of its divisors is an integer number (15229261159).

Almost surely, 2^126573004441 is an apocalyptic number.

126573004441 is the 355771-st square number.

126573004441 is the 177886-th centered octagonal number.

It is an amenable number.

126573004441 is a deficient number, since it is larger than the sum of its proper divisors (10490345990).

126573004441 is an frugal number, since it uses more digits than its factorization.

126573004441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54760 (or 27380 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 126573004441 in words is "one hundred twenty-six billion, five hundred seventy-three million, four thousand, four hundred forty-one".