87519336701329 has 27 divisors (see below), whose sum is σ = 95199260456379. Its totient is φ = 80422340391120.

The previous prime is 87519336701327. The next prime is 87519336701369. The reversal of 87519336701329 is 92310763391578.

The square root of 87519336701329 is 9355177.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12946647441025 + 74572689260304 = 3598145^2 + 8635548^2 .

It is not a de Polignac number, because 87519336701329 - 2¹ = 87519336701327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87519336701327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29066533434 + ... + 29066536444.

Almost surely, 2^{87519336701329} is an apocalyptic number.

87519336701329 is the 9355177-th square number.

87519336701329 is the 4677589-th centered octagonal number.

It is an amenable number.

87519336701329 is a deficient number, since it is larger than the sum of its proper divisors (7679923755050).

87519336701329 is an frugal number, since it uses more digits than its factorization.

87519336701329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 64.

The spelling of 87519336701329 in words is "eighty-seven trillion, five hundred nineteen billion, three hundred thirty-six million, seven hundred one thousand, three hundred twenty-nine".