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1021797821249 is a prime number
BaseRepresentation
bin11101101111001111110…
…01010110101101000001
310121200102211212110211222
432313213321112231001
5113220120220234444
62101224001244425
7133552050114212
oct16674771265501
93550384773758
101021797821249
113643842606a7
12146046033715
137548027c91a
14376533d9409
151b8a5259eee
hexede7e56b41

1021797821249 has 2 divisors, whose sum is σ = 1021797821250. Its totient is φ = 1021797821248.

The previous prime is 1021797821207. The next prime is 1021797821257. The reversal of 1021797821249 is 9421287971201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 712661821249 + 309136000000 = 844193^2 + 556000^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021797821249 - 236 = 953078344513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021797821249.

It is not a weakly prime, because it can be changed into another prime (1021797820249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510898910624 + 510898910625.

It is an arithmetic number, because the mean of its divisors is an integer number (510898910625).

Almost surely, 21021797821249 is an apocalyptic number.

It is an amenable number.

1021797821249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021797821249 is an equidigital number, since it uses as much as digits as its factorization.

1021797821249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1016064, while the sum is 53.

The spelling of 1021797821249 in words is "one trillion, twenty-one billion, seven hundred ninety-seven million, eight hundred twenty-one thousand, two hundred forty-nine".