2541144625 has 32 divisors (see below), whose sum is σ = 3241723680. Its totient is φ = 1988064000.

The previous prime is 2541144611. The next prime is 2541144647. The reversal of 2541144625 is 5264411452.

It can be written as a sum of positive squares in 16 ways, for example, as 2100480561 + 440664064 = 45831^2 + 20992^2 .

It is not a de Polignac number, because 2541144625 - 2¹⁵ = 2541111857 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583771 + ... + 3584479.

It is an arithmetic number, because the mean of its divisors is an integer number (101303865).

Almost surely, 2^2541144625 is an apocalyptic number.

2541144625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2541144625 is a deficient number, since it is larger than the sum of its proper divisors (700579055).

2541144625 is an equidigital number, since it uses as much as digits as its factorization.

2541144625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 2541144625 is about 50409.7671587560. The cubic root of 2541144625 is about 1364.6139112987.

The spelling of 2541144625 in words is "two billion, five hundred forty-one million, one hundred forty-four thousand, six hundred twenty-five".