2059819132849 has 27 divisors (see below), whose sum is σ = 2163781120473. Its totient is φ = 1960779803400.

The previous prime is 2059819132841. The next prime is 2059819132883. The reversal of 2059819132849 is 9482319189502.

The square root of 2059819132849 is 1435207.

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

It is not a de Polignac number, because 2059819132849 - 2³ = 2059819132841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2059819132841) 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, 2980924594 + ... + 2980925284.

It is an arithmetic number, because the mean of its divisors is an integer number (80140041499).

Almost surely, 2^{2059819132849} is an apocalyptic number.

2059819132849 is the 1435207-th square number.

2059819132849 is the 717604-th centered octagonal number.

It is an amenable number.

2059819132849 is a deficient number, since it is larger than the sum of its proper divisors (103961987624).

2059819132849 is an frugal number, since it uses more digits than its factorization.

2059819132849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 2059819132849 in words is "two trillion, fifty-nine billion, eight hundred nineteen million, one hundred thirty-two thousand, eight hundred forty-nine".