80306958802225 has 27 divisors (see below), whose sum is σ = 101952759997569. Its totient is φ = 62749978569600.

The previous prime is 80306958802219. The next prime is 80306958802249. The reversal of 80306958802225 is 52220885960308.

The square root of 80306958802225 is 8961415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4504373767201 + 75802585035024 = 2122351^2 + 8706468^2 .

It is a de Polignac number, because none of the positive numbers 2^k-80306958802225 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 80306958802225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1926683385 + ... + 1926725065.

Almost surely, 2^{80306958802225} is an apocalyptic number.

80306958802225 is the 8961415-th square number.

80306958802225 is the 4480708-th centered octagonal number.

It is an amenable number.

80306958802225 is a deficient number, since it is larger than the sum of its proper divisors (21645801195344).

80306958802225 is an frugal number, since it uses more digits than its factorization.

80306958802225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83458 (or 41729 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 80306958802225 in words is "eighty trillion, three hundred six billion, nine hundred fifty-eight million, eight hundred two thousand, two hundred twenty-five".