2505513 has 16 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 1559040.

The previous prime is 2505499. The next prime is 2505527. The reversal of 2505513 is 3155052.

2505513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2505499) and next prime (2505527).

It is not a de Polignac number, because 2505513 - 2¹² = 2501417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2505513.

It is not an unprimeable number, because it can be changed into a prime (2505533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2233 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

2^2505513 is an apocalyptic number.

It is an amenable number.

2505513 is a deficient number, since it is larger than the sum of its proper divisors (1065687).

2505513 is a wasteful number, since it uses less digits than its factorization.

2505513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 2505513 is about 1582.8812337001. The cubic root of 2505513 is about 135.8205714818.

It can be divided in two parts, 2 and 505513, that added together give a triangular number (505515 = T₁₀₀₅).

The spelling of 2505513 in words is "two million, five hundred five thousand, five hundred thirteen".