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578097000017 is a prime number
BaseRepresentation
bin10000110100110010100…
…01000010111001010001
32001021011120111101000122
420122121101002321101
533432420313000032
61121324001000025
756523532265135
oct10323121027121
92037146441018
10578097000017
1120319575a519
1294057623015
134268bc3b6a4
141dda13533c5
1510087000012
hex8699442e51

578097000017 has 2 divisors, whose sum is σ = 578097000018. Its totient is φ = 578097000016.

The previous prime is 578096999959. The next prime is 578097000073. The reversal of 578097000017 is 710000790875.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 558369112081 + 19727887936 = 747241^2 + 140456^2 .

It is a cyclic number.

It is not a de Polignac number, because 578097000017 - 28 = 578096999761 is a prime.

It is a super-2 number, since 2×5780970000172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (578097000097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 289048500008 + 289048500009.

It is an arithmetic number, because the mean of its divisors is an integer number (289048500009).

Almost surely, 2578097000017 is an apocalyptic number.

It is an amenable number.

578097000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

578097000017 is an equidigital number, since it uses as much as digits as its factorization.

578097000017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 123480, while the sum is 44.

The spelling of 578097000017 in words is "five hundred seventy-eight billion, ninety-seven million, seventeen", and thus it is an aban number.