63132129 has 16 divisors (see below), whose sum is σ = 94687040. Its totient is φ = 42086628.

The previous prime is 63132109. The next prime is 63132137. The reversal of 63132129 is 92123136.

63132129 is a `hidden beast` number, since 631 + 3 + 2 + 1 + 29 = 666.

63132129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63132129 - 2⁷ = 63132001 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63132109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12247 + ... + 16620.

It is an arithmetic number, because the mean of its divisors is an integer number (5917940).

Almost surely, 2^63132129 is an apocalyptic number.

It is an amenable number.

63132129 is a deficient number, since it is larger than the sum of its proper divisors (31554911).

63132129 is an frugal number, since it uses more digits than its factorization.

63132129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28888 (or 28870 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 63132129 is about 7945.5729182986. The cubic root of 63132129 is about 398.1837005404.

The spelling of 63132129 in words is "sixty-three million, one hundred thirty-two thousand, one hundred twenty-nine".