Search a number
-
+
1325047325449 = 3725325872
BaseRepresentation
bin10011010010000010111…
…110011010001100001001
311200200011211022102100111
4103102002332122030021
5133202144103403244
62452415054434321
7164505623301001
oct23220276321411
94620154272314
101325047325449
11470a49742561
121949778029a1
1397c4a390883
14481bdd31001
1524702d44e34
hex13482f9a309

1325047325449 has 27 divisors (see below), whose sum is σ = 1390375578837. Its totient is φ = 1262755170144.

The previous prime is 1325047325431. The next prime is 1325047325467. The reversal of 1325047325449 is 9445237405231.

The square root of 1325047325449 is 1151107.

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

It is an interprime number because it is at equal distance from previous prime (1325047325431) and next prime (1325047325467).

It can be written as a sum of positive squares in 4 ways, for example, as 528955107849 + 796092217600 = 727293^2 + 892240^2 .

It is not a de Polignac number, because 1325047325449 - 217 = 1325047194377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1325047325419) 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, 2257320534 + ... + 2257321120.

Almost surely, 21325047325449 is an apocalyptic number.

1325047325449 is the 1151107-th square number.

1325047325449 is the 575554-th centered octagonal number.

It is an amenable number.

1325047325449 is a deficient number, since it is larger than the sum of its proper divisors (65328253388).

1325047325449 is an frugal number, since it uses more digits than its factorization.

1325047325449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

Multiplying 1325047325449 by its sum of digits (49), we get a square (64927318947001 = 80577492).

The spelling of 1325047325449 in words is "one trillion, three hundred twenty-five billion, forty-seven million, three hundred twenty-five thousand, four hundred forty-nine".

Divisors: 1 37 53 587 1369 1961 2809 21719 31111 72557 103933 344569 803603 1151107 1648883 3845521 12749053 18262157 42590959 61008671 471714961 675699809 967894321 2257320827 25000892933 35812089877 1325047325449