54580953 has 12 divisors (see below), whose sum is σ = 84656400. Its totient is φ = 31189032.

The previous prime is 54580891. The next prime is 54580961. The reversal of 54580953 is 35908545.

54580953 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 54580953 - 2⁹ = 54580441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54580153) 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 11 ways as a sum of consecutive naturals, for example, 185503 + ... + 185796.

It is an arithmetic number, because the mean of its divisors is an integer number (7054700).

Almost surely, 2^54580953 is an apocalyptic number.

It is an amenable number.

54580953 is a deficient number, since it is larger than the sum of its proper divisors (30075447).

54580953 is a wasteful number, since it uses less digits than its factorization.

54580953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371316 (or 371309 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 54580953 is about 7387.8923246079. The cubic root of 54580953 is about 379.3269549786.

The spelling of 54580953 in words is "fifty-four million, five hundred eighty thousand, nine hundred fifty-three".