54125610 has 64 divisors (see below), whose sum is σ = 161961984. Its totient is φ = 11246400.

The previous prime is 54125581. The next prime is 54125611. The reversal of 54125610 is 1652145.

54125610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54125611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9406 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (2530656).

Almost surely, 2^54125610 is an apocalyptic number.

54125610 is an abundant number, since it is smaller than the sum of its proper divisors (107836374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54125610 is a wasteful number, since it uses less digits than its factorization.

54125610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23459.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 54125610 is about 7357.0109419519. The cubic root of 54125610 is about 378.2691596579.

Adding to 54125610 its product of nonzero digits (1200), we get a triangular number (54126810 = T₁₀₄₀₄).

Adding to 54125610 its reverse (1652145), we get a palindrome (55777755).

The spelling of 54125610 in words is "fifty-four million, one hundred twenty-five thousand, six hundred ten".