263134513275264 has 192 divisors, whose sum is σ = 792271520202240. Its totient is φ = 83669352864768.

The previous prime is 263134513275239. The next prime is 263134513275269. The reversal of 263134513275264 is 462572315431362.

263134513275264 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 3 + 4 + 51 + 327 + 5 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×263134513275264² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 263134513275264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263134513275269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3806082 + ... + 23254145.

It is an arithmetic number, because the mean of its divisors is an integer number (4126414167720).

Almost surely, 2^{263134513275264} is an apocalyptic number.

263134513275264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263134513275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396135760101120).

263134513275264 is an abundant number, since it is smaller than the sum of its proper divisors (529137006926976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263134513275264 is a wasteful number, since it uses less digits than its factorization.

263134513275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27060637 (or 27060622 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 263134513275264 in words is "two hundred sixty-three trillion, one hundred thirty-four billion, five hundred thirteen million, two hundred seventy-five thousand, two hundred sixty-four".