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51307631133 = 311172312793109
BaseRepresentation
bin101111110010001011…
…000101001000011101
311220102201100201022120
4233302023011020131
51320034223144013
635323112333153
73464310445263
oct576213051035
9156381321276
1051307631133
111a839902740
129b3a9a41b9
134ab894a265
1426aa27a433
151504591123
hexbf22c521d

51307631133 has 64 divisors (see below), whose sum is σ = 82545868800. Its totient is φ = 27963048960.

The previous prime is 51307631107. The next prime is 51307631143. The reversal of 51307631133 is 33113670315.

51307631133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51307631133 - 210 = 51307630109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 51307631094 and 51307631103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51307631143) 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, 16501383 + ... + 16504491.

It is an arithmetic number, because the mean of its divisors is an integer number (1289779200).

Almost surely, 251307631133 is an apocalyptic number.

It is an amenable number.

51307631133 is a deficient number, since it is larger than the sum of its proper divisors (31238237667).

51307631133 is a wasteful number, since it uses less digits than its factorization.

51307631133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442.

The product of its (nonzero) digits is 17010, while the sum is 33.

The spelling of 51307631133 in words is "fifty-one billion, three hundred seven million, six hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 1279 3109 3837 4301 9327 12903 14069 21743 29417 34199 42207 52853 65229 71507 88251 102597 158559 214521 239173 323587 500089 581383 717519 786577 970761 1215619 1500267 1744149 2359731 3646857 3976411 5500979 11929233 13371809 16502937 40115427 43740521 67598987 91457453 131221563 202796961 274372359 743588857 1006031983 1554776701 2230766571 3018095949 4664330103 17102543711 51307631133