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52331813325 = 32521128323159
BaseRepresentation
bin110000101111001110…
…000001100111001101
312000002002112120011100
4300233032001213031
51324133421011300
640012500213313
73531555034221
oct605716014715
9160062476140
1052331813325
1120214a42a00
12a18599a239
134c1cba331c
1427662c0781
15156444c700
hexc2f3819cd

52331813325 has 108 divisors (see below), whose sum is σ = 104273638560. Its totient is φ = 25066219200.

The previous prime is 52331813273. The next prime is 52331813353.

52331813325 is a `hidden beast` number, since 5 + 2 + 3 + 318 + 1 + 332 + 5 = 666.

52331813325 is nontrivially palindromic in base 10.

52331813325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52331813325 - 213 = 52331805133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52331813325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2248096 + ... + 2271254.

Almost surely, 252331813325 is an apocalyptic number.

52331813325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52331813325 is a deficient number, since it is larger than the sum of its proper divisors (51941825235).

52331813325 is a wasteful number, since it uses less digits than its factorization.

52331813325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23280 (or 23261 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 52331813325 in words is "fifty-two billion, three hundred thirty-one million, eight hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 83 99 121 165 225 249 275 363 415 495 605 747 825 913 1089 1245 1815 2075 2475 2739 3025 3735 4565 5445 6225 8217 9075 10043 13695 18675 22825 23159 27225 30129 41085 50215 68475 69477 90387 115795 150645 205425 208431 251075 254749 347385 451935 578975 753225 764247 1042155 1273745 1736925 1922197 2259675 2292741 2802239 3821235 5210775 5766591 6368725 8406717 9610985 11463705 14011195 17299773 19106175 21144167 25220151 28832955 42033585 48054925 57318525 63432501 70055975 86498865 105720835 126100755 144164775 190297503 210167925 232585837 317162505 432494325 528604175 630503775 697757511 951487515 1162929185 1585812525 2093272533 3488787555 4757437575 5814645925 10466362665 17443937775 52331813325