Search a number
-
+
431290065257 is a prime number
BaseRepresentation
bin1100100011010101110…
…01000010000101101001
31112020020100100101012122
412101222321002011221
524031240224042012
6530044254521025
743105525032032
oct6215271020551
91466210311178
10431290065257
111569aaaa8567
126b706206175
133189407045c
1416c35aa3a89
15b3438ede72
hex646ae42169

431290065257 has 2 divisors, whose sum is σ = 431290065258. Its totient is φ = 431290065256.

The previous prime is 431290065181. The next prime is 431290065277. The reversal of 431290065257 is 752560092134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 426266657881 + 5023407376 = 652891^2 + 70876^2 .

It is a cyclic number.

It is not a de Polignac number, because 431290065257 - 220 = 431289016681 is a prime.

It is a super-2 number, since 2×4312900652572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431290065277) 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, 215645032628 + 215645032629.

It is an arithmetic number, because the mean of its divisors is an integer number (215645032629).

Almost surely, 2431290065257 is an apocalyptic number.

It is an amenable number.

431290065257 is a deficient number, since it is larger than the sum of its proper divisors (1).

431290065257 is an equidigital number, since it uses as much as digits as its factorization.

431290065257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 431290065257 in words is "four hundred thirty-one billion, two hundred ninety million, sixty-five thousand, two hundred fifty-seven".