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5216006125 = 531123271101
BaseRepresentation
bin1001101101110010…
…11110111111101101
3111110111211120021001
410312321132333231
541140244144000
62221325040301
7243154214641
oct46671367755
914414746231
105216006125
112237332670
1210169b6091
1365182b475
14376a4cc21
15207dc346a
hex136e5efed

5216006125 has 96 divisors (see below), whose sum is σ = 7602626304. Its totient is φ = 3542000000.

The previous prime is 5216006099. The next prime is 5216006177.

5216006125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5216006125 - 25 = 5216006093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5216006093 and 5216006102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51643575 + ... + 51643675.

It is an arithmetic number, because the mean of its divisors is an integer number (79194024).

Almost surely, 25216006125 is an apocalyptic number.

5216006125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5216006125 is a deficient number, since it is larger than the sum of its proper divisors (2386620179).

5216006125 is a wasteful number, since it uses less digits than its factorization.

5216006125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5216006125 is about 72221.9227451056. The cubic root of 5216006125 is about 1734.2539708852.

It can be divided in two parts, 521600 and 6125, that added together give a palindrome (527725).

The spelling of 5216006125 in words is "five billion, two hundred sixteen million, six thousand, one hundred twenty-five".

Divisors: 1 5 11 23 25 55 71 101 115 125 253 275 355 505 529 575 781 1111 1265 1375 1633 1775 2323 2525 2645 2875 3905 5555 5819 6325 7171 8165 8875 11615 12625 13225 17963 19525 25553 27775 29095 31625 35855 37559 40825 53429 58075 66125 78881 89815 97625 127765 138875 145475 164933 179275 187795 204125 267145 290375 394405 413149 449075 587719 638825 727375 824665 896375 938975 1335725 1814263 1972025 2065745 2245375 2938595 3194125 3793459 4123325 4694875 6678625 9071315 9860125 10328725 14692975 18967295 20616625 41728049 45356575 51643625 73464875 94836475 208640245 226782875 474182375 1043201225 5216006125