2013753 has 32 divisors (see below), whose sum is σ = 3328000. Its totient is φ = 1079568.

The previous prime is 2013751. The next prime is 2013757. The reversal of 2013753 is 3573102.

It is a happy number.

It is not a de Polignac number, because 2013753 - 2¹ = 2013751 is a prime.

It is a super-2 number, since 2×2013753² = 8110402290018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19500 + ... + 19602.

It is an arithmetic number, because the mean of its divisors is an integer number (104000).

2^2013753 is an apocalyptic number.

It is an amenable number.

2013753 is a deficient number, since it is larger than the sum of its proper divisors (1314247).

2013753 is a wasteful number, since it uses less digits than its factorization.

2013753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 2013753 is about 1419.0676516643. The cubic root of 2013753 is about 126.2802404441.

Adding to 2013753 its reverse (3573102), we get a palindrome (5586855).

The spelling of 2013753 in words is "two million, thirteen thousand, seven hundred fifty-three".