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257323176156413 is a prime number
BaseRepresentation
bin111010100000100010111000…
…100000011101110011111101
31020202002212002120201001121002
4322200202320200131303331
5232211440331044001123
62311140345111020045
7105125662121230613
oct7240427040356375
91222085076631532
10257323176156413
1174a9a1675a2354
1224a3ab5706a625
13b0776188547a3
14477871862b6b3
151eb38765b6528
hexea08b881dcfd

257323176156413 has 2 divisors, whose sum is σ = 257323176156414. Its totient is φ = 257323176156412.

The previous prime is 257323176156407. The next prime is 257323176156461. The reversal of 257323176156413 is 314651671323752.

257323176156413 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 can be written as a sum of positive squares in only one way, i.e., 166193298993604 + 91129877162809 = 12891598^2 + 9546197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257323176156413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257323176156463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128661588078206 + 128661588078207.

It is an arithmetic number, because the mean of its divisors is an integer number (128661588078207).

Almost surely, 2257323176156413 is an apocalyptic number.

It is an amenable number.

257323176156413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257323176156413 is an equidigital number, since it uses as much as digits as its factorization.

257323176156413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19051200, while the sum is 56.

The spelling of 257323176156413 in words is "two hundred fifty-seven trillion, three hundred twenty-three billion, one hundred seventy-six million, one hundred fifty-six thousand, four hundred thirteen".