30215104452225 has 1536 divisors, whose sum is σ = 79828490649600. Its totient is φ = 10813940121600.

The previous prime is 30215104452173. The next prime is 30215104452241. The reversal of 30215104452225 is 52225440151203.

30215104452225 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 5 + 104 + 4 + 522 + 25 = 666.

It is not a de Polignac number, because 30215104452225 - 2⁸ = 30215104451969 is a prime.

It is a super-3 number, since 3×30215104452225³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30215104452225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 98420535522 + ... + 98420535828.

It is an arithmetic number, because the mean of its divisors is an integer number (51971673600).

Almost surely, 2^{30215104452225} is an apocalyptic number.

30215104452225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30215104452225 is an abundant number, since it is smaller than the sum of its proper divisors (49613386197375).

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

30215104452225 is a wasteful number, since it uses less digits than its factorization.

30215104452225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 30215104452225 in words is "thirty trillion, two hundred fifteen billion, one hundred four million, four hundred fifty-two thousand, two hundred twenty-five".