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13262977225 = 523127432
BaseRepresentation
bin11000101101000100…
…01111100011001001
31021020022122001101201
430112202033203021
5204130310232400
610032023344201
7646445306041
oct142642174311
937208561351
1013262977225
115696672103
1226a18b2061
131334a09124
148db662721
1552959b06a
hex31688f8c9

13262977225 has 27 divisors (see below), whose sum is σ = 17016626919. Its totient is φ = 10254291600.

The previous prime is 13262977223. The next prime is 13262977253. The reversal of 13262977225 is 52277926231.

The square root of 13262977225 is 115165.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4774671801 + 8488305424 = 69099^2 + 92132^2 .

It is not a de Polignac number, because 13262977225 - 21 = 13262977223 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13262977223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17850204 + ... + 17850946.

Almost surely, 213262977225 is an apocalyptic number.

13262977225 is the 115165-th square number.

13262977225 is the 57583-rd centered octagonal number.

It is an amenable number.

13262977225 is a deficient number, since it is larger than the sum of its proper divisors (3753649694).

13262977225 is an frugal number, since it uses more digits than its factorization.

13262977225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The spelling of 13262977225 in words is "thirteen billion, two hundred sixty-two million, nine hundred seventy-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 743 775 961 3715 4805 18575 23033 24025 115165 552049 575825 714023 2760245 3570115 13801225 17113519 17850575 85567595 427837975 530519089 2652595445 13262977225