264334563214513 has 32 divisors (see below), whose sum is σ = 293101294901760. Its totient is φ = 236388228960000.

The previous prime is 264334563214489. The next prime is 264334563214523. The reversal of 264334563214513 is 315412365433462.

264334563214513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-264334563214513 is a prime.

It is a super-2 number, since 2×264334563214513² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264334563214523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134750143 + ... + 2134873963.

It is an arithmetic number, because the mean of its divisors is an integer number (9159415465680).

Almost surely, 2^{264334563214513} is an apocalyptic number.

It is an amenable number.

264334563214513 is a deficient number, since it is larger than the sum of its proper divisors (28766731687247).

264334563214513 is a wasteful number, since it uses less digits than its factorization.

264334563214513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136329.

The product of its digits is 18662400, while the sum is 52.

The spelling of 264334563214513 in words is "two hundred sixty-four trillion, three hundred thirty-four billion, five hundred sixty-three million, two hundred fourteen thousand, five hundred thirteen".