20130075 has 36 divisors (see below), whose sum is σ = 41209168. Its totient is φ = 9201600.

The previous prime is 20130043. The next prime is 20130079. The reversal of 20130075 is 57003102.

20130075 = 43² + 44² + ... + 392².

It is not a de Polignac number, because 20130075 - 2⁵ = 20130043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20130079) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4816 + ... + 7965.

Almost surely, 2^20130075 is an apocalyptic number.

20130075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20130075 is an abundant number, since it is smaller than the sum of its proper divisors (21079093).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20130075 is a wasteful number, since it uses less digits than its factorization.

20130075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12804 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 20130075 is about 4486.6552129621. The cubic root of 20130075 is about 272.0289536292.

Adding to 20130075 its reverse (57003102), we get a palindrome (77133177).

It can be divided in two parts, 201 and 30075, that added together give a square (30276 = 174²).

The spelling of 20130075 in words is "twenty million, one hundred thirty thousand, seventy-five".