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2501390138881 is a prime number
BaseRepresentation
bin100100011001100110011…
…110000111111000000001
322212010112011211221020211
4210121212132013320001
5311440321333421011
65153042303434121
7345501531236434
oct44314636077001
98763464757224
102501390138881
11884919582197
123449525b5941
13151b596ba31a
14890d457981b
1545100ba8b21
hex24666787e01

2501390138881 has 2 divisors, whose sum is σ = 2501390138882. Its totient is φ = 2501390138880.

The previous prime is 2501390138873. The next prime is 2501390138909. The reversal of 2501390138881 is 1888310931052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2469954848881 + 31435290000 = 1571609^2 + 177300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2501390138881 - 23 = 2501390138873 is a prime.

It is a super-2 number, since 2×25013901388812 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2501390138281) 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, 1250695069440 + 1250695069441.

It is an arithmetic number, because the mean of its divisors is an integer number (1250695069441).

Almost surely, 22501390138881 is an apocalyptic number.

It is an amenable number.

2501390138881 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501390138881 is an equidigital number, since it uses as much as digits as its factorization.

2501390138881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 2501390138881 in words is "two trillion, five hundred one billion, three hundred ninety million, one hundred thirty-eight thousand, eight hundred eighty-one".