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1157444564513 is a prime number
BaseRepresentation
bin10000110101111101000…
…100100111011000100001
311002122120022011000000012
4100311331010213120201
5122430421302031023
62243420033534305
7146423361320006
oct20657504473041
94078508130005
101157444564513
114069623115a6
121683a1a14395
13851b9c96853
14400407d98ad
1520193bc7978
hex10d7d127621

1157444564513 has 2 divisors, whose sum is σ = 1157444564514. Its totient is φ = 1157444564512.

The previous prime is 1157444564467. The next prime is 1157444564519. The reversal of 1157444564513 is 3154654447511.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1133858669584 + 23585894929 = 1064828^2 + 153577^2 .

It is a cyclic number.

It is not a de Polignac number, because 1157444564513 - 210 = 1157444563489 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 (1157444564519) 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, 578722282256 + 578722282257.

It is an arithmetic number, because the mean of its divisors is an integer number (578722282257).

Almost surely, 21157444564513 is an apocalyptic number.

It is an amenable number.

1157444564513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1157444564513 is an equidigital number, since it uses as much as digits as its factorization.

1157444564513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032000, while the sum is 50.

The spelling of 1157444564513 in words is "one trillion, one hundred fifty-seven billion, four hundred forty-four million, five hundred sixty-four thousand, five hundred thirteen".