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987129000337 is a prime number
BaseRepresentation
bin11100101110101010111…
…10010011000110010001
310111100221201100220012211
432113111132103012101
5112133120011002322
62033251504152121
7131213656026454
oct16272536230621
93440851326184
10987129000337
1135070364a397
1213b38b608641
13721168525cc
1435ac4c9b49b
151aa267e6b77
hexe5d5793191

987129000337 has 2 divisors, whose sum is σ = 987129000338. Its totient is φ = 987129000336.

The previous prime is 987129000307. The next prime is 987129000353. The reversal of 987129000337 is 733000921789.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 849698647681 + 137430352656 = 921791^2 + 370716^2 .

It is an emirp because it is prime and its reverse (733000921789) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-987129000337 is a prime.

It is a super-2 number, since 2×9871290003372 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (987129000307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 493564500168 + 493564500169.

It is an arithmetic number, because the mean of its divisors is an integer number (493564500169).

Almost surely, 2987129000337 is an apocalyptic number.

It is an amenable number.

987129000337 is a deficient number, since it is larger than the sum of its proper divisors (1).

987129000337 is an equidigital number, since it uses as much as digits as its factorization.

987129000337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 987129000337 in words is "nine hundred eighty-seven billion, one hundred twenty-nine million, three hundred thirty-seven", and thus it is an aban number.