225213001313040 has 240 divisors, whose sum is σ = 816401478804912. Its totient is φ = 55309015351296.

The previous prime is 225213001313009. The next prime is 225213001313123. The reversal of 225213001313040 is 40313100312522.

225213001313040 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 1 + 300 + 1 + 313 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36981625887504 + 188231375425536 = 6081252^2 + 13719744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 225213001312995 and 225213001313013.

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 47 ways as a sum of consecutive naturals, for example, 23731437 + ... + 31837196.

Almost surely, 2^{225213001313040} is an apocalyptic number.

225213001313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225213001313040 is an abundant number, since it is smaller than the sum of its proper divisors (591188477491872).

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

225213001313040 is a wasteful number, since it uses less digits than its factorization.

225213001313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55569098 (or 55569089 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 225213001313040 its reverse (40313100312522), we get a palindrome (265526101625562).

The spelling of 225213001313040 in words is "two hundred twenty-five trillion, two hundred thirteen billion, one million, three hundred thirteen thousand, forty".