10053013 has 6 divisors (see below), whose sum is σ = 10294134. Its totient is φ = 9817416.

The previous prime is 10052981. The next prime is 10053023. The reversal of 10053013 is 31035001.

10053013 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 only one way, i.e., 8803089 + 1249924 = 2967^2 + 1118^2 .

It is not a de Polignac number, because 10053013 - 2⁵ = 10052981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10052984 and 10053002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 870 + ... + 4567.

It is an arithmetic number, because the mean of its divisors is an integer number (1715689).

Almost surely, 2^10053013 is an apocalyptic number.

It is an amenable number.

10053013 is a deficient number, since it is larger than the sum of its proper divisors (241121).

10053013 is an frugal number, since it uses more digits than its factorization.

10053013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5480 counting only the distinct ones).

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

The square root of 10053013 is about 3170.6486718020. The cubic root of 10053013 is about 215.8235083787.

Adding to 10053013 its reverse (31035001), we get a palindrome (41088014).

The spelling of 10053013 in words is "ten million, fifty-three thousand, thirteen".