80550954225 has 405 divisors, whose sum is σ = 187923738387. Its totient is φ = 34003307520.

The previous prime is 80550954199. The next prime is 80550954227. The reversal of 80550954225 is 52245905508.

The square root of 80550954225 is 283815.

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

80550954225 is a `hidden beast` number, since 8 + 0 + 550 + 95 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 12392365041 + 68158589184 = 111321^2 + 261072^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 80550954225 - 2¹⁵ = 80550921457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80550954227) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1519829299 + ... + 1519829351.

Almost surely, 2^80550954225 is an apocalyptic number.

80550954225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

80550954225 is the 283815-th square number.

80550954225 is the 141908-th centered octagonal number.

It is an amenable number.

80550954225 is an abundant number, since it is smaller than the sum of its proper divisors (107372784162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80550954225 is a wasteful number, since it uses less digits than its factorization.

80550954225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 80550954225 in words is "eighty billion, five hundred fifty million, nine hundred fifty-four thousand, two hundred twenty-five".