2007132071 has 8 divisors (see below), whose sum is σ = 2340679200. Its totient is φ = 1720398624.

The previous prime is 2007132067. The next prime is 2007132073. The reversal of 2007132071 is 1702317002.

It is not a de Polignac number, because 2007132071 - 2² = 2007132067 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007132073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2925506 + ... + 2926191.

It is an arithmetic number, because the mean of its divisors is an integer number (292584900).

Almost surely, 2^2007132071 is an apocalyptic number.

2007132071 is a deficient number, since it is larger than the sum of its proper divisors (333547129).

2007132071 is an frugal number, since it uses more digits than its factorization.

2007132071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851718 (or 5851704 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 2007132071 is about 44801.0275663405. The cubic root of 2007132071 is about 1261.4169142633.

Adding to 2007132071 its reverse (1702317002), we get a palindrome (3709449073).

The spelling of 2007132071 in words is "two billion, seven million, one hundred thirty-two thousand, seventy-one".