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13237025 = 52601881
BaseRepresentation
bin110010011111…
…101100100001
3220220111210012
4302133230201
511342041100
61151414305
7220340624
oct62375441
926814705
1013237025
11752119a
124524395
132986079
141a87dbb
151267135
hexc9fb21

13237025 has 12 divisors (see below), whose sum is σ = 16459884. Its totient is φ = 10560000.

The previous prime is 13237001. The next prime is 13237039. The reversal of 13237025 is 52073231.

It can be written as a sum of positive squares in 6 ways, for example, as 226576 + 13010449 = 476^2 + 3607^2 .

It is not a de Polignac number, because 13237025 - 26 = 13236961 is a prime.

It is a super-3 number, since 3×132370253 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14585 + ... + 15465.

It is an arithmetic number, because the mean of its divisors is an integer number (1371657).

Almost surely, 213237025 is an apocalyptic number.

It is an amenable number.

13237025 is a deficient number, since it is larger than the sum of its proper divisors (3222859).

13237025 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (13237024) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1492).

13237025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 13237025 is about 3638.2722547935. The cubic root of 13237025 is about 236.5539093450.

The spelling of 13237025 in words is "thirteen million, two hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 25 601 881 3005 4405 15025 22025 529481 2647405 13237025