63586345053 has 32 divisors (see below), whose sum is σ = 105723297792. Its totient is φ = 33025204800.

The previous prime is 63586345021. The next prime is 63586345087. The reversal of 63586345053 is 35054368536.

It is not a de Polignac number, because 63586345053 - 2⁵ = 63586345021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63586344993 and 63586345011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63586345253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246183 + ... + 1296203.

It is an arithmetic number, because the mean of its divisors is an integer number (3303853056).

Almost surely, 2^63586345053 is an apocalyptic number.

It is an amenable number.

63586345053 is a deficient number, since it is larger than the sum of its proper divisors (42136952739).

63586345053 is a wasteful number, since it uses less digits than its factorization.

63586345053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55545.

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 63586345053 in words is "sixty-three billion, five hundred eighty-six million, three hundred forty-five thousand, fifty-three".