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10537377517 is a prime number
BaseRepresentation
bin10011101000001001…
…11001111011101101
31000012100221020111101
421310010321323231
5133040032040032
64501340323101
7522061142152
oct116404717355
930170836441
1010537377517
114518090767
122060b43491
13cbc12b534
1471d688229
1541a15ade7
hex274139eed

10537377517 has 2 divisors, whose sum is σ = 10537377518. Its totient is φ = 10537377516.

The previous prime is 10537377491. The next prime is 10537377629. The reversal of 10537377517 is 71577373501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10329469956 + 207907561 = 101634^2 + 14419^2 .

It is an emirp because it is prime and its reverse (71577373501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10537377517 - 215 = 10537344749 is a prime.

It is a super-2 number, since 2×105373775172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10537378517) 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, 5268688758 + 5268688759.

It is an arithmetic number, because the mean of its divisors is an integer number (5268688759).

Almost surely, 210537377517 is an apocalyptic number.

It is an amenable number.

10537377517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537377517 is an equidigital number, since it uses as much as digits as its factorization.

10537377517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540225, while the sum is 46.

The spelling of 10537377517 in words is "ten billion, five hundred thirty-seven million, three hundred seventy-seven thousand, five hundred seventeen".