Search a number
-
+
25377373459213 is a prime number
BaseRepresentation
bin1011100010100101000010…
…10101001001001100001101
310022212001102210022122012121
411301102201111021030031
511311240330101143323
6125550112053332541
75226311654166616
oct561224125111415
9108761383278177
1025377373459213
1180a4535804a06
122a1a37b037151
1311210cb105159
1463a3b2b30c0d
152e01cc860a5d
hex1714a154930d

25377373459213 has 2 divisors, whose sum is σ = 25377373459214. Its totient is φ = 25377373459212.

The previous prime is 25377373459181. The next prime is 25377373459223. The reversal of 25377373459213 is 31295437377352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19635728413284 + 5741645045929 = 4431222^2 + 2396173^2 .

It is a cyclic number.

It is not a de Polignac number, because 25377373459213 - 25 = 25377373459181 is a prime.

It is a super-2 number, since 2×253773734592132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25377373459223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12688686729606 + 12688686729607.

It is an arithmetic number, because the mean of its divisors is an integer number (12688686729607).

Almost surely, 225377373459213 is an apocalyptic number.

It is an amenable number.

25377373459213 is a deficient number, since it is larger than the sum of its proper divisors (1).

25377373459213 is an equidigital number, since it uses as much as digits as its factorization.

25377373459213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100018800, while the sum is 61.

The spelling of 25377373459213 in words is "twenty-five trillion, three hundred seventy-seven billion, three hundred seventy-three million, four hundred fifty-nine thousand, two hundred thirteen".