Search a number
-
+
13057225 = 52522289
BaseRepresentation
bin110001110011…
…110011001001
3220120101010221
4301303303021
511320312400
61143510041
7215661466
oct61636311
926511127
1013057225
1174090a5
124458321
13292228c
141a3c66d
15122dc1a
hexc73cc9

13057225 has 6 divisors (see below), whose sum is σ = 16190990. Its totient is φ = 10445760.

The previous prime is 13057223. The next prime is 13057249. The reversal of 13057225 is 52275031.

13057225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2383936 + 10673289 = 1544^2 + 3267^2 .

It is not a de Polignac number, because 13057225 - 21 = 13057223 is a prime.

It is a super-2 number, since 2×130572252 = 340982249401250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 522289 = 13057225 / (1 + 3 + 0 + 5 + 7 + 2 + 2 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 13057225.

It is not an unprimeable number, because it can be changed into a prime (13057223) 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 5 ways as a sum of consecutive naturals, for example, 261120 + ... + 261169.

Almost surely, 213057225 is an apocalyptic number.

It is an amenable number.

13057225 is a deficient number, since it is larger than the sum of its proper divisors (3133765).

13057225 is an equidigital number, since it uses as much as digits as its factorization.

13057225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522299 (or 522294 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 13057225 is about 3613.4782412518. The cubic root of 13057225 is about 235.4779769135.

The spelling of 13057225 in words is "thirteen million, fifty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 522289 2611445 13057225