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51315051315 = 35111013119901
BaseRepresentation
bin101111110010100111…
…011000101100110011
311220110020022200220010
4233302213120230303
51320043123120230
635323535350003
73464430511413
oct576247305463
9156406280803
1051315051315
111a843010620
129b41382303
134aba3477b8
1426ab24c643
1515050599b0
hexbf29d8b33

51315051315 has 64 divisors (see below), whose sum is σ = 90754919424. Its totient is φ = 24552000000.

The previous prime is 51315051253. The next prime is 51315051317.

51315051315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51315051315 - 212 = 51315047219 is a prime.

It is a super-2 number, since 2×513150513152 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51315051317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5177865 + ... + 5187765.

It is an arithmetic number, because the mean of its divisors is an integer number (1418045616).

Almost surely, 251315051315 is an apocalyptic number.

51315051315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51315051315 is a deficient number, since it is larger than the sum of its proper divisors (39439868109).

51315051315 is a wasteful number, since it uses less digits than its factorization.

51315051315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332.

The product of its (nonzero) digits is 5625, while the sum is 30.

It can be divided in two parts, 513150 and 51315, that added together give a palindrome (564465).

The spelling of 51315051315 in words is "fifty-one billion, three hundred fifteen million, fifty-one thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 33 55 101 165 303 311 505 933 1111 1515 1555 3333 3421 4665 5555 9901 10263 16665 17105 29703 31411 49505 51315 94233 108911 148515 157055 326733 345521 471165 544555 1000001 1036563 1633665 1727605 3000003 3079211 5000005 5182815 9237633 11000011 15000015 15396055 33000033 33871321 46188165 55000055 101613963 165000165 169356605 311000311 508069815 933000933 1555001555 3421003421 4665004665 10263010263 17105017105 51315051315