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213335525 = 521337113157
BaseRepresentation
bin11001011011100…
…11110111100101
3112212102120022202
430231303313211
5414103214100
633100304245
75200215314
oct1455636745
9485376282
10213335525
11aa471157
125b542085
1335276150
142049427b
1513ae07d5
hexcb73de5

213335525 has 48 divisors (see below), whose sum is σ = 297053904. Its totient is φ = 150958080.

The previous prime is 213335519. The next prime is 213335527. The reversal of 213335525 is 525533312.

It can be written as a sum of positive squares in 24 ways, for example, as 200987329 + 12348196 = 14177^2 + 3514^2 .

It is not a de Polignac number, because 213335525 - 26 = 213335461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213335527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358747 + ... + 1358903.

It is an arithmetic number, because the mean of its divisors is an integer number (6188623).

Almost surely, 2213335525 is an apocalyptic number.

213335525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213335525 is a deficient number, since it is larger than the sum of its proper divisors (83718379).

213335525 is a wasteful number, since it uses less digits than its factorization.

213335525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its digits is 13500, while the sum is 29.

The square root of 213335525 is about 14606.0098931912. The cubic root of 213335525 is about 597.5226790642.

Adding to 213335525 its reverse (525533312), we get a palindrome (738868837).

The spelling of 213335525 in words is "two hundred thirteen million, three hundred thirty-five thousand, five hundred twenty-five".

Divisors: 1 5 13 25 37 65 113 157 185 325 481 565 785 925 1469 2041 2405 2825 3925 4181 5809 7345 10205 12025 17741 20905 29045 36725 51025 54353 75517 88705 104525 145225 230633 271765 377585 443525 656417 1153165 1358825 1887925 3282085 5765825 8533421 16410425 42667105 213335525