Search a number
-
+
1252908253 is a prime number
BaseRepresentation
bin100101010101101…
…1101110011011101
310020022120100000101
41022223131303131
510031221031003
6324154101101
743022354512
oct11253356335
93208510011
101252908253
11593263573
122ab71a791
1316c75a53c
14bc583309
1574edc11d
hex4aaddcdd

1252908253 has 2 divisors, whose sum is σ = 1252908254. Its totient is φ = 1252908252.

The previous prime is 1252908221. The next prime is 1252908263. The reversal of 1252908253 is 3528092521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1212293124 + 40615129 = 34818^2 + 6373^2 .

It is a cyclic number.

It is not a de Polignac number, because 1252908253 - 25 = 1252908221 is a prime.

It is a super-3 number, since 3×12529082533 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1252908263) 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, 626454126 + 626454127.

It is an arithmetic number, because the mean of its divisors is an integer number (626454127).

Almost surely, 21252908253 is an apocalyptic number.

It is an amenable number.

1252908253 is a deficient number, since it is larger than the sum of its proper divisors (1).

1252908253 is an equidigital number, since it uses as much as digits as its factorization.

1252908253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 1252908253 is about 35396.4440728161. Note that the first 3 decimals coincide. The cubic root of 1252908253 is about 1078.0521167764.

The spelling of 1252908253 in words is "one billion, two hundred fifty-two million, nine hundred eight thousand, two hundred fifty-three".