Search a number
-
+
257150475823061 is a prime number
BaseRepresentation
bin111010011110000010000010…
…110000111110011111010101
31020201111100022210120010111102
4322132002002300332133111
5232201123133302314221
62310525144151315445
7105110336340510512
oct7236020260763725
91221440283503442
10257150475823061
1174a329a4780827
1224a1159a07bb85
13b064255328322
1447702140b6309
151eae119b6c30b
hexe9e082c3e7d5

257150475823061 has 2 divisors, whose sum is σ = 257150475823062. Its totient is φ = 257150475823060.

The previous prime is 257150475823057. The next prime is 257150475823169. The reversal of 257150475823061 is 160328574051752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252225027980836 + 4925447842225 = 15881594^2 + 2219335^2 .

It is a cyclic number.

It is not a de Polignac number, because 257150475823061 - 22 = 257150475823057 is a prime.

It is a super-2 number, since 2×2571504758230612 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257150475822988 and 257150475823006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257150475823861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128575237911530 + 128575237911531.

It is an arithmetic number, because the mean of its divisors is an integer number (128575237911531).

Almost surely, 2257150475823061 is an apocalyptic number.

It is an amenable number.

257150475823061 is a deficient number, since it is larger than the sum of its proper divisors (1).

257150475823061 is an equidigital number, since it uses as much as digits as its factorization.

257150475823061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112000, while the sum is 56.

The spelling of 257150475823061 in words is "two hundred fifty-seven trillion, one hundred fifty billion, four hundred seventy-five million, eight hundred twenty-three thousand, sixty-one".