Search a number
-
+
2148597257 is a prime number
BaseRepresentation
bin1000000000010000…
…1111111000001001
312112201222001100012
42000010033320021
513400020103012
6553111521305
7104146526642
oct20004177011
95481861305
102148597257
11a02910a14
124bb689235
132831a4931
141654da6c9
15c8966622
hex8010fe09

2148597257 has 2 divisors, whose sum is σ = 2148597258. Its totient is φ = 2148597256.

The previous prime is 2148597221. The next prime is 2148597299. The reversal of 2148597257 is 7527958412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1773167881 + 375429376 = 42109^2 + 19376^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148597257 - 26 = 2148597193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2148597457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074298628 + 1074298629.

It is an arithmetic number, because the mean of its divisors is an integer number (1074298629).

Almost surely, 22148597257 is an apocalyptic number.

It is an amenable number.

2148597257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148597257 is an equidigital number, since it uses as much as digits as its factorization.

2148597257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 50.

The square root of 2148597257 is about 46352.9638426714. The cubic root of 2148597257 is about 1290.3821268440.

The spelling of 2148597257 in words is "two billion, one hundred forty-eight million, five hundred ninety-seven thousand, two hundred fifty-seven".