Search a number
-
+
2542131589 is a prime number
BaseRepresentation
bin1001011110000101…
…1101100110000101
320120011110122221211
42113201131212011
520201241202324
61100130411421
7116665522234
oct22741354605
96504418854
102542131589
111094a700a8
125ab430b71
1331689129a
141a189ab1b
15ed29e294
hex9785d985

2542131589 has 2 divisors, whose sum is σ = 2542131590. Its totient is φ = 2542131588.

The previous prime is 2542131541. The next prime is 2542131611. The reversal of 2542131589 is 9851312452.

It is a happy number.

2542131589 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., 2138322564 + 403809025 = 46242^2 + 20095^2 .

It is a cyclic number.

It is not a de Polignac number, because 2542131589 - 215 = 2542098821 is a prime.

It is a super-3 number, since 3×25421315893 (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 (2542131989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1271065794 + 1271065795.

It is an arithmetic number, because the mean of its divisors is an integer number (1271065795).

Almost surely, 22542131589 is an apocalyptic number.

It is an amenable number.

2542131589 is a deficient number, since it is larger than the sum of its proper divisors (1).

2542131589 is an equidigital number, since it uses as much as digits as its factorization.

2542131589 is an evil number, because the sum of its binary digits is even.

The product of its digits is 86400, while the sum is 40.

The square root of 2542131589 is about 50419.5556208105. Note that the first 3 decimals coincide. The cubic root of 2542131589 is about 1364.7905574791.

The spelling of 2542131589 in words is "two billion, five hundred forty-two million, one hundred thirty-one thousand, five hundred eighty-nine".