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1318525533 = 36133732
BaseRepresentation
bin100111010010111…
…0001101001011101
310101220001001000000
41032211301221131
510200020304113
6334500324513
744450165523
oct11645615135
93356031000
101318525533
11617300826
123096a3739
13180223230
14c7184313
157ab4e373
hex4e971a5d

1318525533 has 42 divisors (see below), whose sum is σ = 2134674906. Its totient is φ = 809224992.

The previous prime is 1318525529. The next prime is 1318525543. The reversal of 1318525533 is 3355258131.

It can be written as a sum of positive squares in 3 ways, for example, as 75116889 + 1243408644 = 8667^2 + 35262^2 .

It is not a de Polignac number, because 1318525533 - 22 = 1318525529 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318525543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3534735 + ... + 3535107.

It is an arithmetic number, because the mean of its divisors is an integer number (50825593).

Almost surely, 21318525533 is an apocalyptic number.

1318525533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1318525533 is a deficient number, since it is larger than the sum of its proper divisors (816149373).

1318525533 is an frugal number, since it uses more digits than its factorization.

1318525533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 389 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 1318525533 is about 36311.5068951978. The cubic root of 1318525533 is about 1096.5527155719.

It can be divided in two parts, 1318 and 525533, that added together give a triangular number (526851 = T1026).

The spelling of 1318525533 in words is "one billion, three hundred eighteen million, five hundred twenty-five thousand, five hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 373 729 1053 1119 3159 3357 4849 9477 10071 14547 30213 43641 90639 130923 139129 271917 392769 417387 1178307 1252161 1808677 3534921 3756483 5426031 11269449 16278093 33808347 48834279 101425041 146502837 439508511 1318525533