Search a number
-
+
610000057 is a prime number
BaseRepresentation
bin100100010110111…
…101110010111001
31120111211012202201
4210112331302321
52222130000212
6140310230201
721054625552
oct4426756271
91514735681
10610000057
11293369087
12150355361
13994ba4a4
145b02b329
1538845b57
hex245bdcb9

610000057 has 2 divisors, whose sum is σ = 610000058. Its totient is φ = 610000056.

The previous prime is 610000049. The next prime is 610000067. The reversal of 610000057 is 750000016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 510579216 + 99420841 = 22596^2 + 9971^2 .

It is a cyclic number.

It is not a de Polignac number, because 610000057 - 23 = 610000049 is a prime.

It is a pancake number, because a pancake can be divided into 610000057 parts by 34928 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 609999989 and 610000043.

It is not a weakly prime, because it can be changed into another prime (610000067) 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, 305000028 + 305000029.

It is an arithmetic number, because the mean of its divisors is an integer number (305000029).

Almost surely, 2610000057 is an apocalyptic number.

It is an amenable number.

610000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

610000057 is an equidigital number, since it uses as much as digits as its factorization.

610000057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 610000057 is about 24698.1792243882. The cubic root of 610000057 is about 848.0926352648.

The spelling of 610000057 in words is "six hundred ten million, fifty-seven", and thus it is an aban number.