53120013 has 16 divisors (see below), whose sum is σ = 71924160. Its totient is φ = 34868736.

The previous prime is 53120009. The next prime is 53120017. The reversal of 53120013 is 31002135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53120009) and next prime (53120017).

It is not a de Polignac number, because 53120013 - 2² = 53120009 is a prime.

It is a super-2 number, since 2×53120013² = 5643471562240338, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53119974 and 53120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80278 + ... + 80936.

It is an arithmetic number, because the mean of its divisors is an integer number (4495260).

Almost surely, 2^53120013 is an apocalyptic number.

It is an amenable number.

53120013 is a deficient number, since it is larger than the sum of its proper divisors (18804147).

53120013 is a wasteful number, since it uses less digits than its factorization.

53120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 53120013 is about 7288.3477551500. The cubic root of 53120013 is about 375.9118856636.

Adding to 53120013 its reverse (31002135), we get a palindrome (84122148).

The spelling of 53120013 in words is "fifty-three million, one hundred twenty thousand, thirteen".