2120504253 has 72 divisors (see below), whose sum is σ = 3585911040. Its totient is φ = 1110049920.

The previous prime is 2120504237. The next prime is 2120504339. The reversal of 2120504253 is 3524050212.

It is not a de Polignac number, because 2120504253 - 2⁴ = 2120504237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120504153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1644433 + ... + 1645721.

It is an arithmetic number, because the mean of its divisors is an integer number (49804320).

Almost surely, 2^2120504253 is an apocalyptic number.

It is an amenable number.

2120504253 is a deficient number, since it is larger than the sum of its proper divisors (1465406787).

2120504253 is a wasteful number, since it uses less digits than its factorization.

2120504253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2120504253 is about 46048.9332449732. The cubic root of 2120504253 is about 1284.7335017400.

Adding to 2120504253 its reverse (3524050212), we get a palindrome (5644554465).

The spelling of 2120504253 in words is "two billion, one hundred twenty million, five hundred four thousand, two hundred fifty-three".