2513727 has 16 divisors (see below), whose sum is σ = 3754080. Its totient is φ = 1662336.

The previous prime is 2513723. The next prime is 2513729. The reversal of 2513727 is 7273152.

It is not a de Polignac number, because 2513727 - 2² = 2513723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2⁹ + 5⁹ + 1 + 3⁷ + 7⁵ + 2¹⁹ + 7⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 2513727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513723) 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, 3943 + ... + 4535.

It is an arithmetic number, because the mean of its divisors is an integer number (234630).

2^2513727 is an apocalyptic number.

2513727 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2513727 is a deficient number, since it is larger than the sum of its proper divisors (1240353).

2513727 is a wasteful number, since it uses less digits than its factorization.

2513727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2513727 is about 1585.4737462349. The cubic root of 2513727 is about 135.9688329676.

Adding to 2513727 its reverse (7273152), we get a palindrome (9786879).

It can be divided in two parts, 2513 and 727, that added together give a triangular number (3240 = T₈₀).

The spelling of 2513727 in words is "two million, five hundred thirteen thousand, seven hundred twenty-seven".