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997718272961 is a prime number
BaseRepresentation
bin11101000010011001010…
…01001010101111000001
310112101021200221200102012
432201030221022233001
5112321311334213321
62042202341102305
7132040250251424
oct16411451125701
93471250850365
10997718272961
11355147a55673
121414459b7995
13731136509b7
143640b3b39bb
151ae462a405b
hexe84ca4abc1

997718272961 has 2 divisors, whose sum is σ = 997718272962. Its totient is φ = 997718272960.

The previous prime is 997718272951. The next prime is 997718273003. The reversal of 997718272961 is 169272817799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 803074068736 + 194644204225 = 896144^2 + 441185^2 .

It is an emirp because it is prime and its reverse (169272817799) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 997718272961 - 234 = 980538403777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 997718272891 and 997718272900.

It is not a weakly prime, because it can be changed into another prime (997718272951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498859136480 + 498859136481.

It is an arithmetic number, because the mean of its divisors is an integer number (498859136481).

Almost surely, 2997718272961 is an apocalyptic number.

It is an amenable number.

997718272961 is a deficient number, since it is larger than the sum of its proper divisors (1).

997718272961 is an equidigital number, since it uses as much as digits as its factorization.

997718272961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48009024, while the sum is 68.

The spelling of 997718272961 in words is "nine hundred ninety-seven billion, seven hundred eighteen million, two hundred seventy-two thousand, nine hundred sixty-one".