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520509969 = 3473743577
BaseRepresentation
bin11111000001100…
…101101000010001
31100021102122110000
4133001211220101
52031222304334
6123352200213
715620155530
oct3701455021
91307378400
10520509969
112478a5931
12126399069
1383ab6685
144d1b4317
1530a6a299
hex1f065a11

520509969 has 80 divisors (see below), whose sum is σ = 935490688. Its totient is φ = 282175488.

The previous prime is 520509967. The next prime is 520509973. The reversal of 520509969 is 969905025.

520509969 is a `hidden beast` number, since 52 + 0 + 509 + 96 + 9 = 666.

It is not a de Polignac number, because 520509969 - 21 = 520509967 is a prime.

It is a super-3 number, since 3×5205099693 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (520509967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 901809 + ... + 902385.

Almost surely, 2520509969 is an apocalyptic number.

It is an amenable number.

520509969 is a deficient number, since it is larger than the sum of its proper divisors (414980719).

520509969 is a wasteful number, since it uses less digits than its factorization.

520509969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 520509969 is about 22814.6875718253. The cubic root of 520509969 is about 804.4079434565.

The spelling of 520509969 in words is "five hundred twenty million, five hundred nine thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 27 37 43 63 81 111 129 189 259 301 333 387 567 577 777 903 999 1161 1591 1731 2331 2709 2997 3483 4039 4773 5193 6993 8127 11137 12117 14319 15579 20979 21349 24381 24811 33411 36351 42957 46737 64047 74433 100233 109053 128871 149443 173677 192141 223299 300699 327159 448329 521031 576423 669897 902097 918007 1344987 1563093 1729269 2009691 2754021 4034961 4689279 6426049 8262063 12104883 14067837 19278147 24786189 57834441 74358567 173503323 520509969