2003132129 has 8 divisors (see below), whose sum is σ = 2025295272. Its totient is φ = 1981047040.

The previous prime is 2003132119. The next prime is 2003132147. The reversal of 2003132129 is 9212313002.

It can be written as a sum of positive squares in 4 ways, for example, as 390625 + 2002741504 = 625^2 + 44752^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2003132129 - 2¹² = 2003128033 is a prime.

It is a super-3 number, since 3×2003132129³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2003132119) 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, 32867 + ... + 71319.

It is an arithmetic number, because the mean of its divisors is an integer number (253161909).

Almost surely, 2^2003132129 is an apocalyptic number.

It is an amenable number.

2003132129 is a deficient number, since it is larger than the sum of its proper divisors (22163143).

2003132129 is a wasteful number, since it uses less digits than its factorization.

2003132129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39027.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2003132129 is about 44756.3641172962. The cubic root of 2003132129 is about 1260.5784127330.

The spelling of 2003132129 in words is "two billion, three million, one hundred thirty-two thousand, one hundred twenty-nine".