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52005152331 = 33117311321227
BaseRepresentation
bin110000011011101111…
…111010011001001011
311222020022212110112000
4300123233322121023
51323001304333311
635520230522043
73520510333626
oct603357723113
9158208773460
1052005152331
1120067609740
12a0b4506323
134b9a2cc2b2
142734b6adbd
151545924056
hexc1bbfa64b

52005152331 has 64 divisors (see below), whose sum is σ = 85958115840. Its totient is φ = 30809963520.

The previous prime is 52005152323. The next prime is 52005152333. The reversal of 52005152331 is 13325150025.

It is a happy number.

It is not a de Polignac number, because 52005152331 - 23 = 52005152323 is a prime.

It is a super-2 number, since 2×520051523312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52005152295 and 52005152304.

It is not an unprimeable number, because it can be changed into a prime (52005152333) 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, 2439340 + ... + 2460566.

It is an arithmetic number, because the mean of its divisors is an integer number (1343095560).

Almost surely, 252005152331 is an apocalyptic number.

52005152331 is a deficient number, since it is larger than the sum of its proper divisors (33952963509).

52005152331 is a wasteful number, since it uses less digits than its factorization.

52005152331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21433 (or 21427 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 52005152331 in words is "fifty-two billion, five million, one hundred fifty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 73 99 113 219 297 339 657 803 1017 1243 1971 2409 3051 3729 7227 8249 11187 21227 21681 24747 33561 63681 74241 90739 191043 222723 233497 272217 573129 700491 816651 1549571 2101473 2398651 2449953 4648713 6304419 7195953 13946139 17045281 21587859 26385161 41838417 51135843 64763577 79155483 153407529 175101523 237466449 460222587 525304569 712399347 1575913707 1926116753 4727741121 5778350259 17335050777 52005152331