Search a number
-
+
252892912609 is a prime number
BaseRepresentation
bin1110101110000110010…
…1111001101111100001
3220011202112122001011201
43223201211321233201
513120411041200414
6312102152441201
724161631201211
oct3534145715741
9804675561151
10252892912609
1198284502317
12410193a9201
131ab0351a9bc
14c350b00241
1568a1ca8574
hex3ae1979be1

252892912609 has 2 divisors, whose sum is σ = 252892912610. Its totient is φ = 252892912608.

The previous prime is 252892912603. The next prime is 252892912673. The reversal of 252892912609 is 906219298252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167236013025 + 85656899584 = 408945^2 + 292672^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252892912609 is a prime.

It is a super-2 number, since 2×2528929126092 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252892912609.

It is not a weakly prime, because it can be changed into another prime (252892912603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126446456304 + 126446456305.

It is an arithmetic number, because the mean of its divisors is an integer number (126446456305).

Almost surely, 2252892912609 is an apocalyptic number.

It is an amenable number.

252892912609 is a deficient number, since it is larger than the sum of its proper divisors (1).

252892912609 is an equidigital number, since it uses as much as digits as its factorization.

252892912609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 252892912609 in words is "two hundred fifty-two billion, eight hundred ninety-two million, nine hundred twelve thousand, six hundred nine".