71507567133 has 12 divisors (see below), whose sum is σ = 106850388060. Its totient is φ = 46027859136.

The previous prime is 71507567119. The next prime is 71507567137. The reversal of 71507567133 is 33176570517.

71507567133 is a `hidden beast` number, since 7 + 1 + 50 + 7 + 567 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54855729369 + 16651837764 = 234213^2 + 129042^2 .

It is not a de Polignac number, because 71507567133 - 2⁹ = 71507566621 is a prime.

It is a super-2 number, since 2×71507567133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71507567137) 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, 136987416 + ... + 136987937.

It is an arithmetic number, because the mean of its divisors is an integer number (8904199005).

Almost surely, 2^71507567133 is an apocalyptic number.

It is an amenable number.

71507567133 is a deficient number, since it is larger than the sum of its proper divisors (35342820927).

71507567133 is a wasteful number, since it uses less digits than its factorization.

71507567133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273975388 (or 273975385 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The spelling of 71507567133 in words is "seventy-one billion, five hundred seven million, five hundred sixty-seven thousand, one hundred thirty-three".