1053013 has 4 divisors (see below), whose sum is σ = 1134028. Its totient is φ = 972000.

The previous prime is 1053007. The next prime is 1053029. The reversal of 1053013 is 3103501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 544644 + 508369 = 738^2 + 713^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053013 - 2⁵ = 1052981 is a prime.

It is a super-2 number, since 2×1053013² = 2217672756338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 81001 = 1053013 / (1 + 0 + 5 + 3 + 0 + 1 + 3).

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1052984 and 1053002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40488 + ... + 40513.

It is an arithmetic number, because the mean of its divisors is an integer number (283507).

2^1053013 is an apocalyptic number.

1053013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1053013 is a deficient number, since it is larger than the sum of its proper divisors (81015).

1053013 is an equidigital number, since it uses as much as digits as its factorization.

1053013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81014.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 1053013 is about 1026.1642168776. The cubic root of 1053013 is about 101.7367619568.

Adding to 1053013 its reverse (3103501), we get a palindrome (4156514).

The spelling of 1053013 in words is "one million, fifty-three thousand, thirteen".