71525133 has 16 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 47602800.

The previous prime is 71525131. The next prime is 71525141. The reversal of 71525133 is 33152517.

71525133 is a `hidden beast` number, since 7 + 1 + 525 + 133 = 666.

It is not a de Polignac number, because 71525133 - 2¹ = 71525131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71525097 and 71525106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71525131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17038 + ... + 20816.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^71525133 is an apocalyptic number.

It is an amenable number.

71525133 is a deficient number, since it is larger than the sum of its proper divisors (34617267).

71525133 is a wasteful number, since it uses less digits than its factorization.

71525133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4483 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 71525133 is about 8457.2532775127. The cubic root of 71525133 is about 415.1001509873.

The spelling of 71525133 in words is "seventy-one million, five hundred twenty-five thousand, one hundred thirty-three".