80630252919225 has 135 divisors (see below), whose sum is σ = 150034052035549. Its totient is φ = 42808199241600.

The previous prime is 80630252919217. The next prime is 80630252919263. The reversal of 80630252919225 is 52291925203608.

It is a happy number.

The square root of 80630252919225 is 8979435.

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

80630252919225 is a `hidden beast` number, since 8 + 0 + 6 + 3 + 0 + 2 + 529 + 1 + 92 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10122457659561 + 70507795259664 = 3181581^2 + 8396892^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 80630252919225 - 2³ = 80630252919217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 154760561965 + ... + 154760562485.

Almost surely, 2^{80630252919225} is an apocalyptic number.

80630252919225 is the 8979435-th square number.

80630252919225 is the 4489718-th centered octagonal number.

It is an amenable number.

80630252919225 is a deficient number, since it is larger than the sum of its proper divisors (69403799116324).

80630252919225 is an frugal number, since it uses more digits than its factorization.

80630252919225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 80630252919225 in words is "eighty trillion, six hundred thirty billion, two hundred fifty-two million, nine hundred nineteen thousand, two hundred twenty-five".