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52135014524263 = 1131347733601093
BaseRepresentation
bin10111101101010101000010…
…00001010110010101100111
320211121001120210122120211121
423312222201001112111213
523313140002204234023
6302514254532114411
713660426155432616
oct1366524101262547
9224531523576747
1052135014524263
11156803765a6330
125a20146a65a07
132312406a04698
14cc34c352587d
15606240d25d5d
hex2f6aa1056567

52135014524263 has 32 divisors (see below), whose sum is σ = 58958838761472. Its totient is φ = 45671931907200.

The previous prime is 52135014524251. The next prime is 52135014524291. The reversal of 52135014524263 is 36242541053125.

52135014524263 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 not a de Polignac number, because 52135014524263 - 25 = 52135014524231 is a prime.

It is a super-3 number, since 3×521350145242633 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52135014522263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86433145 + ... + 87034237.

It is an arithmetic number, because the mean of its divisors is an integer number (1842463711296).

Almost surely, 252135014524263 is an apocalyptic number.

52135014524263 is a deficient number, since it is larger than the sum of its proper divisors (6823824237209).

52135014524263 is a wasteful number, since it uses less digits than its factorization.

52135014524263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602215.

The product of its (nonzero) digits is 864000, while the sum is 43.

Adding to 52135014524263 its reverse (36242541053125), we get a palindrome (88377555577388).

The spelling of 52135014524263 in words is "fifty-two trillion, one hundred thirty-five billion, fourteen million, five hundred twenty-four thousand, two hundred sixty-three".

Divisors: 1 11 31 341 347 733 3817 8063 10757 22723 118327 249953 254351 601093 2797861 6612023 7884881 18633883 86733691 204972713 208579271 440601169 2294371981 4846612859 6465957401 13658636239 71125531411 150244998629 152888605643 1681774662073 4739546774933 52135014524263