80573661025 has 81 divisors (see below), whose sum is σ = 119217703563. Its totient is φ = 53955158400.

The previous prime is 80573661017. The next prime is 80573661041. The reversal of 80573661025 is 52016637508.

The square root of 80573661025 is 283855.

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

It can be written as a sum of positive squares in 13 ways, for example, as 66782446929 + 13791214096 = 258423^2 + 117436^2 .

It is not a de Polignac number, because 80573661025 - 2³ = 80573661017 is a prime.

It is a super-2 number, since 2×80573661025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 202956127 + ... + 202956523.

Almost surely, 2^80573661025 is an apocalyptic number.

80573661025 is the 283855-th square number.

80573661025 is the 141928-th centered octagonal number.

It is an amenable number.

80573661025 is a deficient number, since it is larger than the sum of its proper divisors (38644042538).

80573661025 is a wasteful number, since it uses less digits than its factorization.

80573661025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

It can be divided in two parts, 805736 and 61025, that added together give a square (866761 = 931²).

The spelling of 80573661025 in words is "eighty billion, five hundred seventy-three million, six hundred sixty-one thousand, twenty-five".