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513536697 = 32173356449
BaseRepresentation
bin11110100110111…
…111001010111001
31022210022100220200
4132212333022321
52022431133242
6122542512413
715503663352
oct3646771271
91283270820
10513536697
112439727a3
12123b95709
138251468b
144c2bad29
153013e04c
hex1e9bf2b9

513536697 has 12 divisors (see below), whose sum is σ = 785409300. Its totient is φ = 322219008.

The previous prime is 513536657. The next prime is 513536729. The reversal of 513536697 is 796635315.

513536697 is a `hidden beast` number, since 51 + 3 + 536 + 69 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481319721 + 32216976 = 21939^2 + 5676^2 .

It is not a de Polignac number, because 513536697 - 223 = 505148089 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (513536627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1678072 + ... + 1678377.

It is an arithmetic number, because the mean of its divisors is an integer number (65450775).

Almost surely, 2513536697 is an apocalyptic number.

It is an amenable number.

513536697 is a deficient number, since it is larger than the sum of its proper divisors (271872603).

513536697 is a wasteful number, since it uses less digits than its factorization.

513536697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356472 (or 3356469 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 513536697 is about 22661.3480843484. The cubic root of 513536697 is about 800.7995636271.

The spelling of 513536697 in words is "five hundred thirteen million, five hundred thirty-six thousand, six hundred ninety-seven".

Divisors: 1 3 9 17 51 153 3356449 10069347 30208041 57059633 171178899 513536697