2560520193 has 16 divisors (see below), whose sum is σ = 4256449536. Its totient is φ = 1330140240.

The previous prime is 2560520159. The next prime is 2560520227. The reversal of 2560520193 is 3910250652.

It is an interprime number because it is at equal distance from previous prime (2560520159) and next prime (2560520227).

It is not a de Polignac number, because 2560520193 - 2¹⁴ = 2560503809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2560520143) 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, 5542021 + ... + 5542482.

It is an arithmetic number, because the mean of its divisors is an integer number (266028096).

Almost surely, 2^2560520193 is an apocalyptic number.

It is an amenable number.

2560520193 is a deficient number, since it is larger than the sum of its proper divisors (1695929343).

2560520193 is a wasteful number, since it uses less digits than its factorization.

2560520193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11084524.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 2560520193 is about 50601.5829100237. The cubic root of 2560520193 is about 1368.0734091408.

It can be divided in two parts, 2560 and 520193, that added together give a triangular number (522753 = T₁₀₂₂).

The spelling of 2560520193 in words is "two billion, five hundred sixty million, five hundred twenty thousand, one hundred ninety-three".