2012511753 has 96 divisors (see below), whose sum is σ = 3666124800. Its totient is φ = 1038457728.

The previous prime is 2012511751. The next prime is 2012511797. The reversal of 2012511753 is 3571152102.

It is not a de Polignac number, because 2012511753 - 2¹ = 2012511751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2012511751) 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 95 ways as a sum of consecutive naturals, for example, 1974478 + ... + 1975496.

It is an arithmetic number, because the mean of its divisors is an integer number (38188800).

Almost surely, 2^2012511753 is an apocalyptic number.

2012511753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2012511753 is a deficient number, since it is larger than the sum of its proper divisors (1653613047).

2012511753 is a wasteful number, since it uses less digits than its factorization.

2012511753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 2012511753 is about 44861.0271059413. The cubic root of 2012511753 is about 1262.5428936575.

Adding to 2012511753 its reverse (3571152102), we get a palindrome (5583663855).

It can be divided in two parts, 20125 and 11753, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 2012511753 in words is "two billion, twelve million, five hundred eleven thousand, seven hundred fifty-three".