83528614081201 has 9 divisors (see below), whose sum is σ = 88156421399403. Its totient is φ = 79132206725640.

The previous prime is 83528614081189. The next prime is 83528614081217. The reversal of 83528614081201 is 10218041682538.

The square root of 83528614081201 is 9139399.

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., 55705310032801 + 27823304048400 = 7463599^2 + 5274780^2 .

It is not a de Polignac number, because 83528614081201 - 2³³ = 83520024146609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83528914081201) 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, 173408071 + ... + 173889091.

It is an arithmetic number, because the mean of its divisors is an integer number (9795157933267).

Almost surely, 2^{83528614081201} is an apocalyptic number.

83528614081201 is the 9139399-th square number.

83528614081201 is the 4569700-th centered octagonal number.

It is an amenable number.

83528614081201 is a deficient number, since it is larger than the sum of its proper divisors (4627807318202).

83528614081201 is an frugal number, since it uses more digits than its factorization.

83528614081201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962080 (or 481040 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 83528614081201 in words is "eighty-three trillion, five hundred twenty-eight billion, six hundred fourteen million, eighty-one thousand, two hundred one".