63005007 has 16 divisors (see below), whose sum is σ = 95231360. Its totient is φ = 36731232.

The previous prime is 63005003. The next prime is 63005011. The reversal of 63005007 is 70050036.

63005007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63005003) and next prime (63005011).

It is not a de Polignac number, because 63005007 - 2² = 63005003 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 (63005003) 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, 41773 + ... + 43254.

It is an arithmetic number, because the mean of its divisors is an integer number (5951960).

Almost surely, 2^63005007 is an apocalyptic number.

63005007 is a deficient number, since it is larger than the sum of its proper divisors (32226353).

63005007 is a wasteful number, since it uses less digits than its factorization.

63005007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85062.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 63005007 is about 7937.5693382798. The cubic root of 63005007 is about 397.9162618540.

The spelling of 63005007 in words is "sixty-three million, five thousand, seven".