2053005013 has 16 divisors (see below), whose sum is σ = 2125780272. Its totient is φ = 1981440000.

The previous prime is 2053004971. The next prime is 2053005023. The reversal of 2053005013 is 3105003502.

It can be written as a sum of positive squares in 8 ways, for example, as 159188689 + 1893816324 = 12617^2 + 43518^2 .

It is a cyclic number.

It is not a de Polignac number, because 2053005013 - 2¹³ = 2052996821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053005023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708813 + ... + 1710013.

It is an arithmetic number, because the mean of its divisors is an integer number (132861267).

Almost surely, 2^2053005013 is an apocalyptic number.

It is an amenable number.

2053005013 is a deficient number, since it is larger than the sum of its proper divisors (72775259).

2053005013 is a wasteful number, since it uses less digits than its factorization.

2053005013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 2053005013 is about 45310.0983556646. The cubic root of 2053005013 is about 1270.9545003720.

Adding to 2053005013 its reverse (3105003502), we get a palindrome (5158008515).

The spelling of 2053005013 in words is "two billion, fifty-three million, five thousand, thirteen".