2042534125 has 32 divisors (see below), whose sum is σ = 2626696800. Its totient is φ = 1584576000.

The previous prime is 2042534111. The next prime is 2042534129. The reversal of 2042534125 is 5214352402.

It can be written as a sum of positive squares in 16 ways, for example, as 1235803716 + 806730409 = 35154^2 + 28403^2 .

It is not a de Polignac number, because 2042534125 - 2⁵ = 2042534093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042534093 and 2042534102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042534129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946601 + ... + 1947649.

It is an arithmetic number, because the mean of its divisors is an integer number (82084275).

Almost surely, 2^2042534125 is an apocalyptic number.

2042534125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2042534125 is a deficient number, since it is larger than the sum of its proper divisors (584162675).

2042534125 is a wasteful number, since it uses less digits than its factorization.

2042534125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2042534125 is about 45194.4036911651. The cubic root of 2042534125 is about 1268.7900777620.

Adding to 2042534125 its reverse (5214352402), we get a palindrome (7256886527).

The spelling of 2042534125 in words is "two billion, forty-two million, five hundred thirty-four thousand, one hundred twenty-five".