7326057075561 has 63 divisors (see below), whose sum is σ = 12778269220263. Its totient is φ = 4186026008640.

The previous prime is 7326057075511. The next prime is 7326057075577. The reversal of 7326057075561 is 1655707506237.

The square root of 7326057075561 is 2706669.

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

7326057075561 is a `hidden beast` number, since 7 + 3 + 2 + 6 + 0 + 5 + 7 + 0 + 75 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82638425961 + 7243418649600 = 287469^2 + 2691360^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 7326057075561 - 2¹³ = 7326057067369 is a prime.

It is a super-2 number, since 2×7326057075561² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7326057075498 and 7326057075507.

It is not an unprimeable number, because it can be changed into a prime (7326057075511) 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 62 ways as a sum of consecutive naturals, for example, 511553281 + ... + 511567601.

Almost surely, 2^{7326057075561} is an apocalyptic number.

7326057075561 is the 2706669-th square number.

7326057075561 is the 1353335-th centered octagonal number.

It is an amenable number.

7326057075561 is a deficient number, since it is larger than the sum of its proper divisors (5452212144702).

7326057075561 is an frugal number, since it uses more digits than its factorization.

7326057075561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28674 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 7326057075561 in words is "seven trillion, three hundred twenty-six billion, fifty-seven million, seventy-five thousand, five hundred sixty-one".