Search a number
-
+
2457000313 is a prime number
BaseRepresentation
bin1001001001110010…
…1101100101111001
320100020021112210121
42102130231211321
520012443002223
61043450013241
7114613105135
oct22234554571
96306245717
102457000313
111050a04779
12586a17221
13302055451
1419445a3c5
15e5a8515d
hex9272d979

2457000313 has 2 divisors, whose sum is σ = 2457000314. Its totient is φ = 2457000312.

The previous prime is 2457000269. The next prime is 2457000331. The reversal of 2457000313 is 3130007542.

Together with next prime (2457000331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2456986624 + 13689 = 49568^2 + 117^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2457000313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2457000913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1228500156 + 1228500157.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500157).

Almost surely, 22457000313 is an apocalyptic number.

It is an amenable number.

2457000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2457000313 is an equidigital number, since it uses as much as digits as its factorization.

2457000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 2457000313 is about 49568.1380828451. The cubic root of 2457000313 is about 1349.3824908824.

Adding to 2457000313 its reverse (3130007542), we get a palindrome (5587007855).

The spelling of 2457000313 in words is "two billion, four hundred fifty-seven million, three hundred thirteen", and thus it is an aban number.