2735031825 has 144 divisors (see below), whose sum is σ = 5469399936. Its totient is φ = 1349913600.

The previous prime is 2735031811. The next prime is 2735031829. The reversal of 2735031825 is 5281305372.

It is a happy number.

2735031825 is a `hidden beast` number, since 2 + 73 + 503 + 1 + 82 + 5 = 666.

It is not a de Polignac number, because 2735031825 - 2⁷ = 2735031697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2735031825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735031829) 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 143 ways as a sum of consecutive naturals, for example, 7332339 + ... + 7332711.

It is an arithmetic number, because the mean of its divisors is an integer number (37981944).

Almost surely, 2^2735031825 is an apocalyptic number.

2735031825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2735031825 is a deficient number, since it is larger than the sum of its proper divisors (2734368111).

2735031825 is a wasteful number, since it uses less digits than its factorization.

2735031825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2735031825 is about 52297.5317295186. The cubic root of 2735031825 is about 1398.4731355504.

The spelling of 2735031825 in words is "two billion, seven hundred thirty-five million, thirty-one thousand, eight hundred twenty-five".