2513577 has 16 divisors (see below), whose sum is σ = 3720960. Its totient is φ = 1496400.

The previous prime is 2513557. The next prime is 2513579. The reversal of 2513577 is 7753152.

2513577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2513577 - 2¹⁰ = 2512553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2513579) 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, 1302 + ... + 2592.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

2^2513577 is an apocalyptic number.

It is an amenable number.

2513577 is a deficient number, since it is larger than the sum of its proper divisors (1207383).

2513577 is a wasteful number, since it uses less digits than its factorization.

2513577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364.

The product of its digits is 7350, while the sum is 30.

The square root of 2513577 is about 1585.4264410562. The cubic root of 2513577 is about 135.9661283871.

It can be divided in two parts, 251 and 3577, that added together give a triangular number (3828 = T₈₇).

The spelling of 2513577 in words is "two million, five hundred thirteen thousand, five hundred seventy-seven".