83503082961 has 9 divisors (see below), whose sum is σ = 120616816489. Its totient is φ = 55668144036.

The previous prime is 83503082909. The next prime is 83503082983. The reversal of 83503082961 is 16928030538.

It is a happy number.

The square root of 83503082961 is 288969.

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

83503082961 is a `hidden beast` number, since 8 + 3 + 50 + 308 + 296 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 83503082961 - 2¹³ = 83503074769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83503082461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 818746 + ... + 915068.

Almost surely, 2^83503082961 is an apocalyptic number.

83503082961 is the 288969-th square number.

83503082961 is the 144485-th centered octagonal number.

It is an amenable number.

83503082961 is a deficient number, since it is larger than the sum of its proper divisors (37113733528).

83503082961 is an frugal number, since it uses more digits than its factorization.

83503082961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192652 (or 96326 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 83503082961 in words is "eighty-three billion, five hundred three million, eighty-two thousand, nine hundred sixty-one".