Search a number
-
+
2541382721 is a prime number
BaseRepresentation
bin1001011101111010…
…0110110001000001
320120010001121200222
42113132212301001
520201043221341
61100102352425
7116656253033
oct22736466101
96503047628
102541382721
1110945a94a9
125ab12b715
1331668b477
141a1743c53
15ed1a244b
hex977a6c41

2541382721 has 2 divisors, whose sum is σ = 2541382722. Its totient is φ = 2541382720.

The previous prime is 2541382709. The next prime is 2541382729. The reversal of 2541382721 is 1272831452.

2541382721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1828759696 + 712623025 = 42764^2 + 26695^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541382721 - 230 = 1467640897 is a prime.

It is a super-2 number, since 2×25413827212 = 12917252269194727682, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2541382729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270691360 + 1270691361.

It is an arithmetic number, because the mean of its divisors is an integer number (1270691361).

Almost surely, 22541382721 is an apocalyptic number.

It is an amenable number.

2541382721 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541382721 is an equidigital number, since it uses as much as digits as its factorization.

2541382721 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26880, while the sum is 35.

The square root of 2541382721 is about 50412.1287092700. The cubic root of 2541382721 is about 1364.6565297528.

The spelling of 2541382721 in words is "two billion, five hundred forty-one million, three hundred eighty-two thousand, seven hundred twenty-one".