54577545 has 48 divisors (see below), whose sum is σ = 98304192. Its totient is φ = 25633920.

The previous prime is 54577513. The next prime is 54577571.

It is a happy number.

54577545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54577545 - 2⁵ = 54577513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54577497 and 54577506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690816 + ... + 690894.

It is an arithmetic number, because the mean of its divisors is an integer number (2048004).

Almost surely, 2^54577545 is an apocalyptic number.

54577545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54577545 is a deficient number, since it is larger than the sum of its proper divisors (43726647).

54577545 is a wasteful number, since it uses less digits than its factorization.

54577545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 151 counting only the distinct ones).

The product of its digits is 490000, while the sum is 42.

The square root of 54577545 is about 7387.6616733578. The cubic root of 54577545 is about 379.3190598363.

The spelling of 54577545 in words is "fifty-four million, five hundred seventy-seven thousand, five hundred forty-five".