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5217606289 = 721726072
BaseRepresentation
bin1001101101111111…
…00101101010010001
3111110121211212021101
410312333211222101
541141201400124
62221423224401
7243203631100
oct46677455221
914417755241
105217606289
112238225915
121017448101
13651c6b8cc
14376d48037
152080dc644
hex136fe5a91

5217606289 has 27 divisors (see below), whose sum is σ = 6458128443. Its totient is φ = 4202227008.

The previous prime is 5217606257. The next prime is 5217606293. The reversal of 5217606289 is 9826067125.

The square root of 5217606289 is 72233.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4062150225 + 1155456064 = 63735^2 + 33992^2 .

It is not a de Polignac number, because 5217606289 - 25 = 5217606257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5217616289) 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 26 ways as a sum of consecutive naturals, for example, 8595424 + ... + 8596030.

Almost surely, 25217606289 is an apocalyptic number.

5217606289 is the 72233-rd square number.

5217606289 is the 36117-th centered octagonal number.

It is an amenable number.

5217606289 is a deficient number, since it is larger than the sum of its proper divisors (1240522154).

5217606289 is an frugal number, since it uses more digits than its factorization.

5217606289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The cubic root of 5217606289 is about 1734.4312973026.

The spelling of 5217606289 in words is "five billion, two hundred seventeen million, six hundred six thousand, two hundred eighty-nine".

Divisors: 1 7 17 49 119 289 607 833 2023 4249 10319 14161 29743 72233 175423 368449 505631 1227961 2579143 6263633 8595727 18054001 43845431 106481761 306918017 745372327 5217606289