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251943962993 is a prime number
BaseRepresentation
bin1110101010100100000…
…1111100100101110001
3220002022102000102000122
43222221001330211301
513111440123303433
6311424053300025
724126256231232
oct3525101744561
9802272012018
10251943962993
1197937887438
12409b3634615
131a9b1a46058
14c2a0a81089
15684880d198
hex3aa907c971

251943962993 has 2 divisors, whose sum is σ = 251943962994. Its totient is φ = 251943962992.

The previous prime is 251943962953. The next prime is 251943963013. The reversal of 251943962993 is 399269349152.

251943962993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230085227584 + 21858735409 = 479672^2 + 147847^2 .

It is a cyclic number.

It is not a de Polignac number, because 251943962993 - 220 = 251942914417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (251943962923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125971981496 + 125971981497.

It is an arithmetic number, because the mean of its divisors is an integer number (125971981497).

Almost surely, 2251943962993 is an apocalyptic number.

It is an amenable number.

251943962993 is a deficient number, since it is larger than the sum of its proper divisors (1).

251943962993 is an equidigital number, since it uses as much as digits as its factorization.

251943962993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28343520, while the sum is 62.

The spelling of 251943962993 in words is "two hundred fifty-one billion, nine hundred forty-three million, nine hundred sixty-two thousand, nine hundred ninety-three".