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81675352521 = 32723124392
BaseRepresentation
bin100110000010000111…
…0101111100111001001
321210211002120210121100
41030010032233213021
52314232342240041
6101304322132013
75620664020200
oct1140416574711
9253732523540
1081675352521
1131702675244
12139b4ab1009
137918261779
143d4b486237
1521d06046b6
hex13043af9c9

81675352521 has 81 divisors (see below), whose sum is σ = 142130374893. Its totient is φ = 45063209520.

The previous prime is 81675352513. The next prime is 81675352559. The reversal of 81675352521 is 12525357618.

The square root of 81675352521 is 285789.

It is a perfect power (a square), and thus also a powerful number.

81675352521 is a `hidden beast` number, since 8 + 1 + 6 + 75 + 3 + 52 + 521 = 666.

It is not a de Polignac number, because 81675352521 - 23 = 81675352513 is a prime.

Its product of digits (504000) is a multiple of the sum of its prime divisors (480).

It is not an unprimeable number, because it can be changed into a prime (81675352501) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186048420 + ... + 186048858.

Almost surely, 281675352521 is an apocalyptic number.

81675352521 is the 285789-th square number.

81675352521 is the 142895-th centered octagonal number.

It is an amenable number.

81675352521 is a deficient number, since it is larger than the sum of its proper divisors (60455022372).

81675352521 is an equidigital number, since it uses as much as digits as its factorization.

81675352521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 81675352521 in words is "eighty-one billion, six hundred seventy-five million, three hundred fifty-two thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 439 441 651 961 1317 1519 1953 2883 3073 3951 4557 6727 8649 9219 13609 13671 20181 21511 27657 40827 47089 60543 64533 95263 122481 141267 192721 193599 285789 421879 423801 578163 666841 857367 1265637 1349047 1734489 2000523 2953153 3796911 4047141 5974351 6001569 8859459 9443329 12141423 17923053 20672071 26578377 28329987 41820457 53769159 62016213 84989961 125461371 185204881 186048639 292743199 376384113 555614643 878229597 1296434167 1666843929 2634688791 3889302501 9075039169 11667907503 27225117507 81675352521