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1007694779953 is a prime number
BaseRepresentation
bin11101010100111110100…
…10100001011000110001
310120100000222111202012011
432222133102201120301
5113002224330424303
62050532324202521
7132542421205561
oct16523722413061
93510028452164
101007694779953
113593a7483a74
1214336ab39441
1374043503b84
1436ab637cda1
151b32c07116d
hexea9f4a1631

1007694779953 has 2 divisors, whose sum is σ = 1007694779954. Its totient is φ = 1007694779952.

The previous prime is 1007694779951. The next prime is 1007694780019. The reversal of 1007694779953 is 3599774967001.

1007694779953 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., 1006434316944 + 1260463009 = 1003212^2 + 35503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007694779953 - 21 = 1007694779951 is a prime.

Together with 1007694779951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1007694779951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503847389976 + 503847389977.

It is an arithmetic number, because the mean of its divisors is an integer number (503847389977).

Almost surely, 21007694779953 is an apocalyptic number.

It is an amenable number.

1007694779953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007694779953 is an equidigital number, since it uses as much as digits as its factorization.

1007694779953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90016920, while the sum is 67.

The spelling of 1007694779953 in words is "one trillion, seven billion, six hundred ninety-four million, seven hundred seventy-nine thousand, nine hundred fifty-three".