10530013 has 8 divisors (see below), whose sum is σ = 11390456. Its totient is φ = 9676800.

The previous prime is 10529993. The next prime is 10530019. The reversal of 10530013 is 31003501.

10530013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2079364 + 8450649 = 1442^2 + 2907^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10530013 - 2¹³ = 10521821 is a prime.

It is a super-2 number, since 2×10530013² = 221762347560338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10529975 and 10530002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1453 + ... + 4813.

It is an arithmetic number, because the mean of its divisors is an integer number (1423807).

Almost surely, 2^10530013 is an apocalyptic number.

10530013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10530013 is a deficient number, since it is larger than the sum of its proper divisors (860443).

10530013 is a wasteful number, since it uses less digits than its factorization.

10530013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615.

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

The square root of 10530013 is about 3244.9981510010. The cubic root of 10530013 is about 219.1843974212.

Adding to 10530013 its reverse (31003501), we get a palindrome (41533514).

It can be divided in two parts, 105300 and 13, that multiplied together give a square (1368900 = 1170²).

The spelling of 10530013 in words is "ten million, five hundred thirty thousand, thirteen".