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5211331125 = 3537111313883
BaseRepresentation
bin1001101101001111…
…01001101000110101
3111110012001001100220
410312213221220311
541133100044000
62221040524553
7243066404130
oct46647515065
914405031326
105211331125
11223472a230
121015320759
136508825b0
14376193217
1520779d1a0
hex1369e9a35

5211331125 has 128 divisors (see below), whose sum is σ = 11643899904. Its totient is φ = 1999008000.

The previous prime is 5211331067. The next prime is 5211331157.

5211331125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5211331125 - 29 = 5211330613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5211331095 and 5211331104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368434 + ... + 382316.

It is an arithmetic number, because the mean of its divisors is an integer number (90967968).

Almost surely, 25211331125 is an apocalyptic number.

5211331125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5211331125 is an abundant number, since it is smaller than the sum of its proper divisors (6432568779).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5211331125 is a wasteful number, since it uses less digits than its factorization.

5211331125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932 (or 13922 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 5211331125 is about 72189.5499708926. The cubic root of 5211331125 is about 1733.7356905149.

It can be divided in two parts, 52113 and 31125, that added together give a palindrome (83238).

The spelling of 5211331125 in words is "five billion, two hundred eleven million, three hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 125 143 165 175 195 231 273 275 325 375 385 429 455 525 715 825 875 975 1001 1155 1365 1375 1625 1925 2145 2275 2625 3003 3575 4125 4875 5005 5775 6825 9625 10725 11375 13883 15015 17875 25025 28875 34125 41649 53625 69415 75075 97181 125125 152713 180479 208245 291543 347075 375375 458139 485905 541437 763565 902395 1041225 1068991 1263353 1457715 1735375 1985269 2290695 2429525 2707185 3206973 3790059 3817825 4511975 5206125 5344955 5955807 6316765 7288575 9926345 11453475 12147625 13535925 13896883 16034865 18950295 19089125 22559875 26724775 29779035 31583825 36442875 41690649 49631725 57267375 67679625 69484415 80174325 94751475 133623875 148895175 157919125 208453245 248158625 347422075 400871625 473757375 744475875 1042266225 1737110375 5211331125