2501541 has 24 divisors (see below), whose sum is σ = 4205760. Its totient is φ = 1403136.

The previous prime is 2501507. The next prime is 2501563. The reversal of 2501541 is 1451052.

2501541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2501541 - 2⁷ = 2501413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501501) 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 23 ways as a sum of consecutive naturals, for example, 3381 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (175240).

2^2501541 is an apocalyptic number.

2501541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2501541 is a deficient number, since it is larger than the sum of its proper divisors (1704219).

2501541 is a wasteful number, since it uses less digits than its factorization.

2501541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2501541 is about 1581.6260620007. The cubic root of 2501541 is about 135.7487612190.

Adding to 2501541 its reverse (1451052), we get a palindrome (3952593).

The spelling of 2501541 in words is "two million, five hundred one thousand, five hundred forty-one".