225064137753 has 48 divisors (see below), whose sum is σ = 400275308160. Its totient is φ = 118667296512.

The previous prime is 225064137737. The next prime is 225064137763. The reversal of 225064137753 is 357731460522.

225064137753 is a `hidden beast` number, since 2 + 2 + 506 + 4 + 137 + 7 + 5 + 3 = 666.

225064137753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225064137753 - 2⁴ = 225064137737 is a prime.

It is a super-2 number, since 2×225064137753² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225064137699 and 225064137708.

It is not an unprimeable number, because it can be changed into a prime (225064137763) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2025325 + ... + 2133557.

It is an arithmetic number, because the mean of its divisors is an integer number (8339068920).

Almost surely, 2^225064137753 is an apocalyptic number.

It is an amenable number.

225064137753 is a deficient number, since it is larger than the sum of its proper divisors (175211170407).

225064137753 is a wasteful number, since it uses less digits than its factorization.

225064137753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110798 (or 110795 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 225064137753 in words is "two hundred twenty-five billion, sixty-four million, one hundred thirty-seven thousand, seven hundred fifty-three".