33145110252225 has 144 divisors (see below), whose sum is σ = 61236251097840. Its totient is φ = 17126769254400.

The previous prime is 33145110252187. The next prime is 33145110252239. The reversal of 33145110252225 is 52225201154133.

33145110252225 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 5 + 1 + 102 + 522 + 25 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 30866335839504 + 2278774412721 = 5555748^2 + 1509561^2 .

It is not a de Polignac number, because 33145110252225 - 2¹⁴ = 33145110235841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33145110252225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3095065171 + ... + 3095075879.

It is an arithmetic number, because the mean of its divisors is an integer number (425251743735).

Almost surely, 2^{33145110252225} is an apocalyptic number.

It is an amenable number.

33145110252225 is a deficient number, since it is larger than the sum of its proper divisors (28091140845615).

33145110252225 is a wasteful number, since it uses less digits than its factorization.

33145110252225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 33145110252225 in words is "thirty-three trillion, one hundred forty-five billion, one hundred ten million, two hundred fifty-two thousand, two hundred twenty-five".