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516518253 = 3257390917
BaseRepresentation
bin11110110010010…
…111000101101101
31022222220211211200
4132302113011231
52024212041003
6123130440113
715541222056
oct3662270555
91288824750
10516518253
11245619899
12124b93039
1383019804
144c85572d
153052c6a3
hex1ec9716d

516518253 has 6 divisors (see below), whose sum is σ = 746081934. Its totient is φ = 344345496.

The previous prime is 516518251. The next prime is 516518263. The reversal of 516518253 is 352815615.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 377796969 + 138721284 = 19437^2 + 11778^2 .

It is not a de Polignac number, because 516518253 - 21 = 516518251 is a prime.

It is a super-2 number, since 2×5165182532 = 533582211364344018, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516518251) 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 5 ways as a sum of consecutive naturals, for example, 28695450 + ... + 28695467.

It is an arithmetic number, because the mean of its divisors is an integer number (124346989).

Almost surely, 2516518253 is an apocalyptic number.

It is an amenable number.

516518253 is a deficient number, since it is larger than the sum of its proper divisors (229563681).

516518253 is a wasteful number, since it uses less digits than its factorization.

516518253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57390923 (or 57390920 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 516518253 is about 22727.0379284235. The cubic root of 516518253 is about 802.3463682379.

The spelling of 516518253 in words is "five hundred sixteen million, five hundred eighteen thousand, two hundred fifty-three".

Divisors: 1 3 9 57390917 172172751 516518253