67135025952 has 72 divisors (see below), whose sum is σ = 191027573100. Its totient is φ = 22365173760.

The previous prime is 67135025911. The next prime is 67135025953. The reversal of 67135025952 is 25952053176.

67135025952 is a `hidden beast` number, since 6 + 7 + 1 + 3 + 50 + 2 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51509025936 + 15626000016 = 226956^2 + 125004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×67135025952² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67135025898 and 67135025907.

It is not an unprimeable number, because it can be changed into a prime (67135025953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427924 + ... + 563372.

Almost surely, 2^67135025952 is an apocalyptic number.

It is an amenable number.

67135025952 is an abundant number, since it is smaller than the sum of its proper divisors (123892547148).

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

67135025952 is a wasteful number, since it uses less digits than its factorization.

67135025952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137186 (or 137175 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 67135025952 in words is "sixty-seven billion, one hundred thirty-five million, twenty-five thousand, nine hundred fifty-two".