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516753913 = 13174095717
BaseRepresentation
bin11110110011010…
…000100111111001
31100000100211002211
4132303100213321
52024242111123
6123135455121
715543223114
oct3663204771
91300324084
10516753913
1124576a955
121250874a1
138309cb60
144c8b757b
153057740d
hex1ecd09f9

516753913 has 16 divisors (see below), whose sum is σ = 590783760. Its totient is φ = 447768576.

The previous prime is 516753899. The next prime is 516753953. The reversal of 516753913 is 319357615.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28697449 + 488056464 = 5357^2 + 22092^2 .

It is not a de Polignac number, because 516753913 - 213 = 516745721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516753953) 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 15 ways as a sum of consecutive naturals, for example, 87531 + ... + 93247.

It is an arithmetic number, because the mean of its divisors is an integer number (36923985).

Almost surely, 2516753913 is an apocalyptic number.

It is an amenable number.

516753913 is a deficient number, since it is larger than the sum of its proper divisors (74029847).

516753913 is a wasteful number, since it uses less digits than its factorization.

516753913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156.

The product of its digits is 85050, while the sum is 40.

The square root of 516753913 is about 22732.2219107592. The cubic root of 516753913 is about 802.4683724430.

The spelling of 516753913 in words is "five hundred sixteen million, seven hundred fifty-three thousand, nine hundred thirteen".

Divisors: 1 13 17 221 409 5317 5717 6953 74321 90389 97189 1263457 2338253 30397289 39750301 516753913