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1311526225 = 5272432
BaseRepresentation
bin100111000101100…
…0100110101010001
310101101212102202101
41032023010311101
510141222314400
6334050320401
744333534422
oct11613046521
93341772671
101311526225
11613360079
12307289101
1317b942429
14c6281649
157a21a56a
hex4e2c4d51

1311526225 has 9 divisors (see below), whose sum is σ = 1626517083. Its totient is φ = 1049076120.

The previous prime is 1311526219. The next prime is 1311526241. The reversal of 1311526225 is 5226251131.

The square root of 1311526225 is 36215.

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., 472149441 + 839376784 = 21729^2 + 28972^2 .

It is not a de Polignac number, because 1311526225 - 29 = 1311525713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311526193 and 1311526202.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 177454 + ... + 184696.

Almost surely, 21311526225 is an apocalyptic number.

1311526225 is the 36215-th square number.

1311526225 is the 18108-th centered octagonal number.

It is an amenable number.

1311526225 is a deficient number, since it is larger than the sum of its proper divisors (314990858).

1311526225 is an frugal number, since it uses more digits than its factorization.

1311526225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14496 (or 7248 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The cubic root of 1311526225 is about 1094.6089455198.

Multiplying 1311526225 by its product of digits (3600), we get a square (4721494410000 = 21729002).

Adding to 1311526225 its reverse (5226251131), we get a palindrome (6537777356).

It can be divided in two parts, 13115 and 26225, that added together give a triangular number (39340 = T280).

The spelling of 1311526225 in words is "one billion, three hundred eleven million, five hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 7243 36215 181075 52461049 262305245 1311526225