53564344346535 has 64 divisors (see below), whose sum is σ = 94536548305920. Its totient is φ = 25681665920000.

The previous prime is 53564344346521. The next prime is 53564344346537.

53564344346535 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53564344346535 - 2²⁵ = 53564310792103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53564344346537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11495470 + ... + 15468500.

It is an arithmetic number, because the mean of its divisors is an integer number (1477133567280).

Almost surely, 2^{53564344346535} is an apocalyptic number.

53564344346535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53564344346535 is a deficient number, since it is larger than the sum of its proper divisors (40972203959385).

53564344346535 is a wasteful number, since it uses less digits than its factorization.

53564344346535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973960.

The product of its digits is 466560000, while the sum is 60.

The spelling of 53564344346535 in words is "fifty-three trillion, five hundred sixty-four billion, three hundred forty-four million, three hundred forty-six thousand, five hundred thirty-five".