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553520513 = 72132773137
BaseRepresentation
bin100000111111100…
…000110110000001
31102120112202101202
4200333200312001
52113200124023
6130531510545
716500563300
oct4077406601
91376482352
10553520513
112644a2177
12135458455
138a8a3a40
1453728437
15338db128
hex20fe0d81

553520513 has 24 divisors (see below), whose sum is σ = 696146472. Its totient is φ = 436230144.

The previous prime is 553520497. The next prime is 553520519. The reversal of 553520513 is 315025355.

It can be written as a sum of positive squares in 4 ways, for example, as 81414529 + 472105984 = 9023^2 + 21728^2 .

It is not a de Polignac number, because 553520513 - 24 = 553520497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (553520519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174881 + ... + 178017.

It is an arithmetic number, because the mean of its divisors is an integer number (29006103).

Almost surely, 2553520513 is an apocalyptic number.

It is an amenable number.

553520513 is a deficient number, since it is larger than the sum of its proper divisors (142625959).

553520513 is a wasteful number, since it uses less digits than its factorization.

553520513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

The square root of 553520513 is about 23527.0166617019. The cubic root of 553520513 is about 821.0656940108.

Adding to 553520513 its reverse (315025355), we get a palindrome (868545868).

The spelling of 553520513 in words is "five hundred fifty-three million, five hundred twenty thousand, five hundred thirteen".

Divisors: 1 7 13 49 91 277 637 1939 3137 3601 13573 21959 25207 40781 153713 176449 285467 868949 1998269 6082643 11296337 42578501 79074359 553520513