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853130961 = 3529121063
BaseRepresentation
bin110010110110011…
…011111011010001
32012110022112200000
4302312123323101
53221400142321
6220353320213
730066331164
oct6266337321
92173275600
10853130961
113a862aa11
121b9866069
13107996427
1481439adb
154ed6e826
hex32d9bed1

853130961 has 24 divisors (see below), whose sum is σ = 1322018880. Its totient is φ = 549137232.

The previous prime is 853130947. The next prime is 853130977. The reversal of 853130961 is 169031358.

It is a happy number.

853130961 is a `hidden beast` number, since 8 + 531 + 30 + 96 + 1 = 666.

It is not a de Polignac number, because 853130961 - 27 = 853130833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (853130461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53485 + ... + 67578.

It is an arithmetic number, because the mean of its divisors is an integer number (55084120).

Almost surely, 2853130961 is an apocalyptic number.

853130961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

853130961 is a deficient number, since it is larger than the sum of its proper divisors (468887919).

853130961 is a wasteful number, since it uses less digits than its factorization.

853130961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121107 (or 121095 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 853130961 is about 29208.4056565914. The cubic root of 853130961 is about 948.4298943528.

The spelling of 853130961 in words is "eight hundred fifty-three million, one hundred thirty thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 121063 363189 1089567 3268701 3510827 9806103 10532481 29418309 31597443 94792329 284376987 853130961