63006905 has 16 divisors (see below), whose sum is σ = 82180560. Its totient is φ = 46096128.

The previous prime is 63006899. The next prime is 63006941. The reversal of 63006905 is 50960036.

63006905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8202496 + 54804409 = 2864^2 + 7403^2 .

It is not a de Polignac number, because 63006905 - 2⁶ = 63006841 is a prime.

It is an unprimeable number.

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, 2639 + ... + 11531.

It is an arithmetic number, because the mean of its divisors is an integer number (5136285).

Almost surely, 2^63006905 is an apocalyptic number.

63006905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63006905 is a deficient number, since it is larger than the sum of its proper divisors (19173655).

63006905 is a wasteful number, since it uses less digits than its factorization.

63006905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020.

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 63006905 is about 7937.6888953901. The cubic root of 63006905 is about 397.9202575020.

The spelling of 63006905 in words is "sixty-three million, six thousand, nine hundred five".