Search a number
-
+
541893025657 is a prime number
BaseRepresentation
bin1111110001010110101…
…01110101111101111001
31220210201110022220202101
413320223111311331321
532334244103310112
61052535304103401
754102420501364
oct7705325657571
91823643286671
10541893025657
111998a7538755
1289032a64b61
133c13c461559
141c328da10db
15e1688eb757
hex7e2b575f79

541893025657 has 2 divisors, whose sum is σ = 541893025658. Its totient is φ = 541893025656.

The previous prime is 541893025651. The next prime is 541893025679. The reversal of 541893025657 is 756520398145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 540770507641 + 1122518016 = 735371^2 + 33504^2 .

It is a cyclic number.

It is not a de Polignac number, because 541893025657 - 23 = 541893025649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541893025598 and 541893025607.

It is not a weakly prime, because it can be changed into another prime (541893025651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270946512828 + 270946512829.

It is an arithmetic number, because the mean of its divisors is an integer number (270946512829).

It is a 1-persistent number, because it is pandigital, but 2⋅541893025657 = 1083786051314 is not.

Almost surely, 2541893025657 is an apocalyptic number.

It is an amenable number.

541893025657 is a deficient number, since it is larger than the sum of its proper divisors (1).

541893025657 is an equidigital number, since it uses as much as digits as its factorization.

541893025657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 541893025657 in words is "five hundred forty-one billion, eight hundred ninety-three million, twenty-five thousand, six hundred fifty-seven".