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257970523763 is a prime number
BaseRepresentation
bin1111000001000000111…
…1011100111001110011
3220122212102001102020002
43300100033130321303
513211310423230023
6314302055340215
724431515162241
oct3602017347163
9818772042202
10257970523763
119a44a6a9777
1241bb598166b
131b432481544
14c6b3205791
156a9c940b28
hex3c103dce73

257970523763 has 2 divisors, whose sum is σ = 257970523764. Its totient is φ = 257970523762.

The previous prime is 257970523667. The next prime is 257970523771. The reversal of 257970523763 is 367325079752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257970523763 - 210 = 257970522739 is a prime.

It is a super-2 number, since 2×2579705237632 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 257970523699 and 257970523708.

It is not a weakly prime, because it can be changed into another prime (257970523163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128985261881 + 128985261882.

It is an arithmetic number, because the mean of its divisors is an integer number (128985261882).

Almost surely, 2257970523763 is an apocalyptic number.

257970523763 is a deficient number, since it is larger than the sum of its proper divisors (1).

257970523763 is an equidigital number, since it uses as much as digits as its factorization.

257970523763 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16669800, while the sum is 56.

The spelling of 257970523763 in words is "two hundred fifty-seven billion, nine hundred seventy million, five hundred twenty-three thousand, seven hundred sixty-three".