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71507567137 is a prime number
BaseRepresentation
bin100001010011000101…
…1101110001000100001
320211120111002210012111
41002212023232020201
52132421414122022
652503343155321
75111011202056
oct1024613561041
9224514083174
1071507567137
1128365180626
1211a378a5b41
136987889006
143664d2902d
151cd7b52477
hex10a62ee221

71507567137 has 2 divisors, whose sum is σ = 71507567138. Its totient is φ = 71507567136.

The previous prime is 71507567119. The next prime is 71507567141. The reversal of 71507567137 is 73176570517.

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., 64000904256 + 7506662881 = 252984^2 + 86641^2 .

It is an emirp because it is prime and its reverse (73176570517) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71507567137 - 211 = 71507565089 is a prime.

It is a super-2 number, since 2×715075671372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (71507564137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35753783568 + 35753783569.

It is an arithmetic number, because the mean of its divisors is an integer number (35753783569).

Almost surely, 271507567137 is an apocalyptic number.

It is an amenable number.

71507567137 is a deficient number, since it is larger than the sum of its proper divisors (1).

71507567137 is an equidigital number, since it uses as much as digits as its factorization.

71507567137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080450, while the sum is 49.

The spelling of 71507567137 in words is "seventy-one billion, five hundred seven million, five hundred sixty-seven thousand, one hundred thirty-seven".