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517053641 = 13214292141
BaseRepresentation
bin11110110100011…
…001110011001001
31100000221001020212
4132310121303021
52024331204031
6123150130505
715545612006
oct3664316311
91300831225
10517053641
11245955065
121251b0a35
1383176400
144c9548ad
15305d612b
hex1ed19cc9

517053641 has 12 divisors (see below), whose sum is σ = 560539980. Its totient is φ = 476723520.

The previous prime is 517053613. The next prime is 517053679. The reversal of 517053641 is 146350715.

It can be written as a sum of positive squares in 6 ways, for example, as 66765241 + 450288400 = 8171^2 + 21220^2 .

It is not a de Polignac number, because 517053641 - 226 = 449944777 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 517053598 and 517053607.

It is not an unprimeable number, because it can be changed into a prime (517053611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240431 + ... + 242571.

It is an arithmetic number, because the mean of its divisors is an integer number (46711665).

Almost surely, 2517053641 is an apocalyptic number.

It is an amenable number.

517053641 is a deficient number, since it is larger than the sum of its proper divisors (43486339).

517053641 is a wasteful number, since it uses less digits than its factorization.

517053641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 517053641 is about 22738.8135354508. The cubic root of 517053641 is about 802.6234918958.

The spelling of 517053641 in words is "five hundred seventeen million, fifty-three thousand, six hundred forty-one".

Divisors: 1 13 169 1429 2141 18577 27833 241501 361829 3059489 39773357 517053641