Search a number
-
+
531325332405 = 3457285765599
BaseRepresentation
bin1111011101101010111…
…01010010101110110101
31212210102222100110220000
413232311131102232311
532201123241114110
61044030521501513
753246510544150
oct7566535225665
91783388313800
10531325332405
1119537433136a
1286b83941899
133b146c7a41a
141ba056a4c97
15dc4aca31c0
hex7bb5752bb5

531325332405 has 80 divisors (see below), whose sum is σ = 1088911718400. Its totient is φ = 242802862848.

The previous prime is 531325332371. The next prime is 531325332413. The reversal of 531325332405 is 504233523135.

531325332405 is a `hidden beast` number, since 5 + 3 + 1 + 325 + 3 + 324 + 0 + 5 = 666.

It is not a de Polignac number, because 531325332405 - 211 = 531325330357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 531325332405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8066796 + ... + 8132394.

It is an arithmetic number, because the mean of its divisors is an integer number (13611396480).

Almost surely, 2531325332405 is an apocalyptic number.

It is an amenable number.

531325332405 is an abundant number, since it is smaller than the sum of its proper divisors (557586385995).

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

531325332405 is a wasteful number, since it uses less digits than its factorization.

531325332405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68480 (or 68471 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 531325332405 in words is "five hundred thirty-one billion, three hundred twenty-five million, three hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 2857 8571 14285 19999 25713 42855 59997 65599 77139 99995 128565 179991 196797 231417 299985 327995 385695 459193 539973 590391 899955 983985 1157085 1377579 1619919 1771173 2295965 2699865 2951955 4132737 5313519 6887895 8099595 8855865 12398211 20663685 26567595 37194633 61991055 185973165 187416343 562249029 937081715 1311914401 1686747087 2811245145 3935743203 5060241261 6559572005 8433735435 11807229609 15180723783 19678716015 25301206305 35421688827 59036148045 75903618915 106265066481 177108444135 531325332405