83123536418521 has 27 divisors (see below), whose sum is σ = 86691940136733. Its totient is φ = 79700470431360.

The previous prime is 83123536418393. The next prime is 83123536418557. The reversal of 83123536418521 is 12581463532138.

The square root of 83123536418521 is 9117211.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3458629148121 + 79664907270400 = 1859739^2 + 8925520^2 .

It is not a de Polignac number, because 83123536418521 - 2⁷ = 83123536418393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83123536488521) 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, 22054531525 + ... + 22054535293.

Almost surely, 2^{83123536418521} is an apocalyptic number.

83123536418521 is the 9117211-st square number.

83123536418521 is the 4558606-th centered octagonal number.

It is an amenable number.

83123536418521 is a deficient number, since it is larger than the sum of its proper divisors (3568403718212).

83123536418521 is an frugal number, since it uses more digits than its factorization.

83123536418521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 3869 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The spelling of 83123536418521 in words is "eighty-three trillion, one hundred twenty-three billion, five hundred thirty-six million, four hundred eighteen thousand, five hundred twenty-one".