83671249545601 has 3 divisors (see below), whose sum is σ = 83671258692801. Its totient is φ = 83671240398402.

The previous prime is 83671249545563. The next prime is 83671249545607. The reversal of 83671249545601 is 10654594217638.

The square root of 83671249545601 is 9147199.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 83671249545601 - 2¹³ = 83671249537409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83671249545601.

It is not an unprimeable number, because it can be changed into a prime (83671249545607) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4573600 + ... + 13720798.

It is an arithmetic number, because the mean of its divisors is an integer number (27890419564267).

It is a 1-persistent number, because it is pandigital, but 2⋅83671249545601 = 167342499091202 is not.

Almost surely, 2^{83671249545601} is an apocalyptic number.

83671249545601 is the 9147199-th square number.

83671249545601 is the 4573600-th centered octagonal number.

It is an amenable number.

83671249545601 is a deficient number, since it is larger than the sum of its proper divisors (9147200).

83671249545601 is an frugal number, since it uses more digits than its factorization.

83671249545601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294398 (or 9147199 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 83671249545601 in words is "eighty-three trillion, six hundred seventy-one billion, two hundred forty-nine million, five hundred forty-five thousand, six hundred one".