Search a number
-
+
10255875949601 is a prime number
BaseRepresentation
bin1001010100111110000111…
…0101111100010000100001
31100022110012121222021110122
42111033201311330100201
52321013013220341401
633451252342410025
72105651111131412
oct225174165742041
940273177867418
1010255875949601
1132a4546670167
1211977a8130915
1359518169b769
1427655c09b809
1512bba3a3e21b
hex953e1d7c421

10255875949601 has 2 divisors, whose sum is σ = 10255875949602. Its totient is φ = 10255875949600.

The previous prime is 10255875949549. The next prime is 10255875949619. The reversal of 10255875949601 is 10694957855201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10245607167376 + 10268782225 = 3200876^2 + 101335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10255875949601 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10255875940601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5127937974800 + 5127937974801.

It is an arithmetic number, because the mean of its divisors is an integer number (5127937974801).

Almost surely, 210255875949601 is an apocalyptic number.

It is an amenable number.

10255875949601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10255875949601 is an equidigital number, since it uses as much as digits as its factorization.

10255875949601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216000, while the sum is 62.

The spelling of 10255875949601 in words is "ten trillion, two hundred fifty-five billion, eight hundred seventy-five million, nine hundred forty-nine thousand, six hundred one".