Search a number
-
+
531132525 = 33527112929
BaseRepresentation
bin11111101010000…
…111000001101101
31101000102022212000
4133222013001231
52041432220100
6124412002513
716106360220
oct3752070155
91330368760
10531132525
112528a0800
12129a60439
1386065701
145077b5b7
1531967900
hex1fa8706d

531132525 has 144 divisors (see below), whose sum is σ = 1227004800. Its totient is φ = 220492800.

The previous prime is 531132493. The next prime is 531132541. The reversal of 531132525 is 525231135.

It is a happy number.

531132525 is a `hidden beast` number, since 5 + 3 + 1 + 132 + 525 = 666.

It is not a de Polignac number, because 531132525 - 25 = 531132493 is a prime.

It is a super-2 number, since 2×5311325252 = 564203518225751250, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 571261 + ... + 572189.

Almost surely, 2531132525 is an apocalyptic number.

531132525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

531132525 is an abundant number, since it is smaller than the sum of its proper divisors (695872275).

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

531132525 is a wasteful number, since it uses less digits than its factorization.

531132525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 955 counting only the distinct ones).

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

The square root of 531132525 is about 23046.3126117824. The cubic root of 531132525 is about 809.8432481309.

The spelling of 531132525 in words is "five hundred thirty-one million, one hundred thirty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 121 135 165 175 189 225 231 275 297 315 363 385 495 525 605 675 693 825 847 929 945 1089 1155 1485 1575 1815 1925 2079 2475 2541 2787 3025 3267 3465 4235 4645 4725 5445 5775 6503 7425 7623 8361 9075 10219 10395 12705 13935 16335 17325 19509 21175 22869 23225 25083 27225 30657 32515 38115 41805 51095 51975 58527 63525 69675 71533 81675 91971 97545 112409 114345 125415 153285 162575 175581 190575 209025 214599 255475 275913 292635 337227 357665 459855 487725 562045 571725 627075 643797 766425 786863 877905 1011681 1072995 1379565 1463175 1686135 1788325 1931391 2299275 2360589 2810225 3035043 3218985 3934315 4389525 5058405 5364975 6897825 7081767 8430675 9656955 11802945 15175215 16094925 19671575 21245301 25292025 35408835 48284775 59014725 75876075 106226505 177044175 531132525