Search a number
-
+
257131150523939 is a prime number
BaseRepresentation
bin111010011101110000000010…
…111000110011111000100011
31020201102111102222121012212002
4322131300002320303320203
5232200314044013231224
62310512230403154215
7105106053420255536
oct7235600270637043
91221374388535762
10257131150523939
1174a2578809153a
1224a098a607596b
13b0624956726a3
14476d2dd660a1d
151ead8882779ae
hexe9dc02e33e23

257131150523939 has 2 divisors, whose sum is σ = 257131150523940. Its totient is φ = 257131150523938.

The previous prime is 257131150523911. The next prime is 257131150523977. The reversal of 257131150523939 is 939325051131752.

257131150523939 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257131150523939 - 28 = 257131150523683 is a prime.

It is a super-2 number, since 2×2571311505239392 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257131150520939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128565575261969 + 128565575261970.

It is an arithmetic number, because the mean of its divisors is an integer number (128565575261970).

Almost surely, 2257131150523939 is an apocalyptic number.

257131150523939 is a deficient number, since it is larger than the sum of its proper divisors (1).

257131150523939 is an equidigital number, since it uses as much as digits as its factorization.

257131150523939 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7654500, while the sum is 56.

The spelling of 257131150523939 in words is "two hundred fifty-seven trillion, one hundred thirty-one billion, one hundred fifty million, five hundred twenty-three thousand, nine hundred thirty-nine".