Search a number
-
+
2541564349 is a prime number
BaseRepresentation
bin1001011101111101…
…0011000110111101
320120010101211211221
42113133103012331
520201120024344
61100110313341
7116660640412
oct22737230675
96503354757
102541564349
111094712a05
125ab1b8851
1331672303c
141a1790109
15ed1db184
hex977d31bd

2541564349 has 2 divisors, whose sum is σ = 2541564350. Its totient is φ = 2541564348.

The previous prime is 2541564323. The next prime is 2541564391. The reversal of 2541564349 is 9434651452.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2087576100 + 453988249 = 45690^2 + 21307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2541564349 is a prime.

It is a super-3 number, since 3×25415643493 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2541564049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270782174 + 1270782175.

It is an arithmetic number, because the mean of its divisors is an integer number (1270782175).

Almost surely, 22541564349 is an apocalyptic number.

It is an amenable number.

2541564349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541564349 is an equidigital number, since it uses as much as digits as its factorization.

2541564349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 518400, while the sum is 43.

The square root of 2541564349 is about 50413.9301086515. The cubic root of 2541564349 is about 1364.6890388183.

The spelling of 2541564349 in words is "two billion, five hundred forty-one million, five hundred sixty-four thousand, three hundred forty-nine".