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138825538081 is a prime number
BaseRepresentation
bin1000000101001010100…
…1011001101000100001
3111021022222202000212121
42001102221121220201
54233303314204311
6143435305024241
713013140414036
oct2012251315041
9437288660777
10138825538081
115396a44055a
1222aa4485081
131012546c909
146a0d66938d
153927a7cb71
hex2052a59a21

138825538081 has 2 divisors, whose sum is σ = 138825538082. Its totient is φ = 138825538080.

The previous prime is 138825537947. The next prime is 138825538151. The reversal of 138825538081 is 180835528831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118628580625 + 20196957456 = 344425^2 + 142116^2 .

It is a cyclic number.

It is not a de Polignac number, because 138825538081 - 29 = 138825537569 is a prime.

It is a super-2 number, since 2×1388255380812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (138825532081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69412769040 + 69412769041.

It is an arithmetic number, because the mean of its divisors is an integer number (69412769041).

Almost surely, 2138825538081 is an apocalyptic number.

It is an amenable number.

138825538081 is a deficient number, since it is larger than the sum of its proper divisors (1).

138825538081 is an equidigital number, since it uses as much as digits as its factorization.

138825538081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1843200, while the sum is 52.

The spelling of 138825538081 in words is "one hundred thirty-eight billion, eight hundred twenty-five million, five hundred thirty-eight thousand, eighty-one".