2053516402513 has 16 divisors (see below), whose sum is σ = 2070495250560. Its totient is φ = 2036590822656.

The previous prime is 2053516402493. The next prime is 2053516402537. The reversal of 2053516402513 is 3152046153502.

It is a cyclic number.

It is not a de Polignac number, because 2053516402513 - 2¹⁷ = 2053516271441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2053516402913) 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, 200162178 + ... + 200172436.

It is an arithmetic number, because the mean of its divisors is an integer number (129405953160).

Almost surely, 2^{2053516402513} is an apocalyptic number.

It is an amenable number.

2053516402513 is a deficient number, since it is larger than the sum of its proper divisors (16978848047).

2053516402513 is a wasteful number, since it uses less digits than its factorization.

2053516402513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12696.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 2053516402513 in words is "two trillion, fifty-three billion, five hundred sixteen million, four hundred two thousand, five hundred thirteen".