66954087225 has 36 divisors (see below), whose sum is σ = 123163365676. Its totient is φ = 34743738240.

The previous prime is 66954087163. The next prime is 66954087247. The reversal of 66954087225 is 52278045966.

66954087225 is a `hidden beast` number, since 6 + 6 + 9 + 5 + 408 + 7 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 734843664 + 66219243561 = 27108^2 + 257331^2 .

It is not a de Polignac number, because 66954087225 - 2¹² = 66954083129 is a prime.

It is a super-2 number, since 2×66954087225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4012942 + ... + 4029591.

Almost surely, 2^66954087225 is an apocalyptic number.

It is an amenable number.

66954087225 is a deficient number, since it is larger than the sum of its proper divisors (56209278451).

66954087225 is a wasteful number, since it uses less digits than its factorization.

66954087225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042586 (or 8042578 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 66954087225 in words is "sixty-six billion, nine hundred fifty-four million, eighty-seven thousand, two hundred twenty-five".