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351513116641 is a prime number
BaseRepresentation
bin1010001110101111101…
…00000111111111100001
31020121022112221111012001
411013113310013333201
521224344324213031
6425252150004001
734252552123021
oct5072764077741
91217275844161
10351513116641
11126091a99275
1258161046601
13271bc203c0b
14130287cba81
159224cde861
hex51d7d07fe1

351513116641 has 2 divisors, whose sum is σ = 351513116642. Its totient is φ = 351513116640.

The previous prime is 351513116623. The next prime is 351513116651. The reversal of 351513116641 is 146611315153.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242067936016 + 109445180625 = 492004^2 + 330825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-351513116641 is a prime.

It is a super-2 number, since 2×3515131166412 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 351513116641.

It is not a weakly prime, because it can be changed into another prime (351513116651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 175756558320 + 175756558321.

It is an arithmetic number, because the mean of its divisors is an integer number (175756558321).

Almost surely, 2351513116641 is an apocalyptic number.

It is an amenable number.

351513116641 is a deficient number, since it is larger than the sum of its proper divisors (1).

351513116641 is an equidigital number, since it uses as much as digits as its factorization.

351513116641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32400, while the sum is 37.

The spelling of 351513116641 in words is "three hundred fifty-one billion, five hundred thirteen million, one hundred sixteen thousand, six hundred forty-one".