126882513 has 24 divisors (see below), whose sum is σ = 201314880. Its totient is φ = 76649760.

The previous prime is 126882487. The next prime is 126882517. The reversal of 126882513 is 315288621.

It is a happy number.

126882513 is a `hidden beast` number, since 1 + 2 + 68 + 82 + 513 = 666.

It is not a de Polignac number, because 126882513 - 2²⁰ = 125833937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126882517) 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 23 ways as a sum of consecutive naturals, for example, 12198 + ... + 20063.

It is an arithmetic number, because the mean of its divisors is an integer number (8388120).

Almost surely, 2^126882513 is an apocalyptic number.

It is an amenable number.

126882513 is a deficient number, since it is larger than the sum of its proper divisors (74432367).

126882513 is a wasteful number, since it uses less digits than its factorization.

126882513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32309 (or 32306 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 126882513 is about 11264.2138207689. The cubic root of 126882513 is about 502.4975213363.

The spelling of 126882513 in words is "one hundred twenty-six million, eight hundred eighty-two thousand, five hundred thirteen".