Search a number
-
+
2506441129 is a prime number
BaseRepresentation
bin1001010101100101…
…0100000110101001
320110200022101211221
42111121110012221
520113122104004
61052413422041
7116053253353
oct22531240651
96420271757
102506441129
111076903355
1259b49a921
1330c37617a
1419ac4a0d3
15ea09e354
hex956541a9

2506441129 has 2 divisors, whose sum is σ = 2506441130. Its totient is φ = 2506441128.

The previous prime is 2506441117. The next prime is 2506441141. The reversal of 2506441129 is 9211446052.

It is a balanced prime because it is at equal distance from previous prime (2506441117) and next prime (2506441141).

It can be written as a sum of positive squares in only one way, i.e., 2454211600 + 52229529 = 49540^2 + 7227^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506441129 - 25 = 2506441097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2506441094 and 2506441103.

It is not a weakly prime, because it can be changed into another prime (2506441199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253220564 + 1253220565.

It is an arithmetic number, because the mean of its divisors is an integer number (1253220565).

Almost surely, 22506441129 is an apocalyptic number.

It is an amenable number.

2506441129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506441129 is an equidigital number, since it uses as much as digits as its factorization.

2506441129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2506441129 is about 50064.3698552174. The cubic root of 2506441129 is about 1358.3734029640.

The spelling of 2506441129 in words is "two billion, five hundred six million, four hundred forty-one thousand, one hundred twenty-nine".