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245130561 = 321311318541
BaseRepresentation
bin11101001110001…
…10010101000001
3122002020220220200
432213012111001
51000223134221
640153555413
76034401234
oct1647062501
9562226820
10245130561
11116408245
126a115b69
133ba29190
14247ad41b
15167c1426
hexe9c6541

245130561 has 24 divisors (see below), whose sum is σ = 384709416. Its totient is φ = 149506560.

The previous prime is 245130559. The next prime is 245130563. The reversal of 245130561 is 165031542.

245130561 is a `hidden beast` number, since 24 + 51 + 30 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (245130559) and next prime (245130563).

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 240095025 = 2244^2 + 15495^2 .

It is not a de Polignac number, because 245130561 - 21 = 245130559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245130563) 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 23 ways as a sum of consecutive naturals, for example, 3951 + ... + 22491.

It is an arithmetic number, because the mean of its divisors is an integer number (16029559).

Almost surely, 2245130561 is an apocalyptic number.

It is an amenable number.

245130561 is a deficient number, since it is larger than the sum of its proper divisors (139578855).

245130561 is a wasteful number, since it uses less digits than its factorization.

245130561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18673 (or 18670 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 245130561 is about 15656.6459051739. The cubic root of 245130561 is about 625.8436062001.

The spelling of 245130561 in words is "two hundred forty-five million, one hundred thirty thousand, five hundred sixty-one".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 18541 55623 166869 241033 723099 2095133 2169297 6285399 18856197 27236729 81710187 245130561