2053993041 has 9 divisors (see below), whose sum is σ = 2967075241. Its totient is φ = 1369238052.

The previous prime is 2053993003. The next prime is 2053993049. The reversal of 2053993041 is 1403993502.

It is a happy number.

The square root of 2053993041 is 45321.

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

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

It is not a de Polignac number, because 2053993041 - 2¹⁷ = 2053861969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2053992987 and 2053993005.

It is not an unprimeable number, because it can be changed into a prime (2053993049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128410 + ... + 143516.

Almost surely, 2^2053993041 is an apocalyptic number.

2053993041 is the 45321-st square number.

2053993041 is the 22661-st centered octagonal number.

It is an amenable number.

2053993041 is a deficient number, since it is larger than the sum of its proper divisors (913082200).

2053993041 is an frugal number, since it uses more digits than its factorization.

2053993041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30220 (or 15110 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 2053993041 is about 1271.1583539482.

Multiplying 2053993041 by its sum of digits (36), we get a square (73943749476 = 271926²).

The spelling of 2053993041 in words is "two billion, fifty-three million, nine hundred ninety-three thousand, forty-one".