Search a number
-
+
2457000253 is a prime number
BaseRepresentation
bin1001001001110010…
…1101100100111101
320100020021112201101
42102130231210331
520012443002003
61043450013101
7114613105021
oct22234554475
96306245641
102457000253
111050a04724
12586a17191
13302055406
1419445a381
15e5a8511d
hex9272d93d

2457000253 has 2 divisors, whose sum is σ = 2457000254. Its totient is φ = 2457000252.

The previous prime is 2457000209. The next prime is 2457000269. The reversal of 2457000253 is 3520007542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2355937444 + 101062809 = 48538^2 + 10053^2 .

It is a cyclic number.

It is not a de Polignac number, because 2457000253 - 213 = 2456992061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2457000053) 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, 1228500126 + 1228500127.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500127).

Almost surely, 22457000253 is an apocalyptic number.

It is an amenable number.

2457000253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2457000253 is an equidigital number, since it uses as much as digits as its factorization.

2457000253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 2457000253 is about 49568.1374776176. The cubic root of 2457000253 is about 1349.3824798984.

Adding to 2457000253 its reverse (3520007542), we get a palindrome (5977007795).

The spelling of 2457000253 in words is "two billion, four hundred fifty-seven million, two hundred fifty-three", and thus it is an aban number.