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527000131 = 7194322143
BaseRepresentation
bin11111011010010…
…110001001000011
31100201122101021101
4133122112021003
52034403001011
6124143235231
716026266350
oct3732261103
91321571241
10527000131
11250528aa9
121285a8b17
13852497c8
144ddc3627
15313ed2c1
hex1f696243

527000131 has 24 divisors (see below), whose sum is σ = 649374720. Its totient is φ = 417792816.

The previous prime is 527000129. The next prime is 527000161. The reversal of 527000131 is 131000725.

It is not a de Polignac number, because 527000131 - 21 = 527000129 is a prime.

It is a super-2 number, since 2×5270001312 = 555458276148034322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 527000099 and 527000108.

It is not an unprimeable number, because it can be changed into a prime (527000161) 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, 244846 + ... + 246988.

It is an arithmetic number, because the mean of its divisors is an integer number (27057280).

Almost surely, 2527000131 is an apocalyptic number.

527000131 is a deficient number, since it is larger than the sum of its proper divisors (122374589).

527000131 is a wasteful number, since it uses less digits than its factorization.

527000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 527000131 is about 22956.4834197226. The cubic root of 527000131 is about 807.7374910027.

Adding to 527000131 its reverse (131000725), we get a palindrome (658000856).

The spelling of 527000131 in words is "five hundred twenty-seven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 19 43 133 301 817 1849 2143 5719 12943 15001 35131 40717 92149 245917 285019 645043 1750831 3962407 12255817 27736849 75285733 527000131