7278292104561 has 45 divisors (see below), whose sum is σ = 11366653366299. Its totient is φ = 4640873634144.

The previous prime is 7278292104539. The next prime is 7278292104617. The reversal of 7278292104561 is 1654012928727.

The square root of 7278292104561 is 2697831.

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

7278292104561 is a `hidden beast` number, since 7 + 2 + 78 + 2 + 9 + 2 + 1 + 0 + 4 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4541438034225 + 2736854070336 = 2131065^2 + 1654344^2 .

It is not a de Polignac number, because 7278292104561 - 2³⁹ = 6728536290673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7278292104498 and 7278292104507.

It is not an unprimeable number, because it can be changed into a prime (7278292104511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 558444501 + ... + 558457533.

Almost surely, 2^{7278292104561} is an apocalyptic number.

7278292104561 is the 2697831-st square number.

7278292104561 is the 1348916-th centered octagonal number.

It is an amenable number.

7278292104561 is a deficient number, since it is larger than the sum of its proper divisors (4088361261738).

7278292104561 is an frugal number, since it uses more digits than its factorization.

7278292104561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26124 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7278292104561 in words is "seven trillion, two hundred seventy-eight billion, two hundred ninety-two million, one hundred four thousand, five hundred sixty-one".