54512461 has 16 divisors (see below), whose sum is σ = 58506624. Its totient is φ = 50674624.

The previous prime is 54512453. The next prime is 54512509. The reversal of 54512461 is 16421545.

54512461 is a nontrivial binomial coefficient, being equal to C(10442, 2).

It is a cyclic number.

It is not a de Polignac number, because 54512461 - 2³ = 54512453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54512561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 240030 + ... + 240256.

It is an arithmetic number, because the mean of its divisors is an integer number (3656664).

Almost surely, 2^54512461 is an apocalyptic number.

54512461 is the 10441-st triangular number and also the 5221-st hexagonal number.

54512461 is the 3481-st centered nonagonal number.

It is an amenable number.

54512461 is a deficient number, since it is larger than the sum of its proper divisors (3994163).

54512461 is a wasteful number, since it uses less digits than its factorization.

54512461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500.

The product of its digits is 4800, while the sum is 28.

The square root of 54512461 is about 7383.2554472942. The cubic root of 54512461 is about 379.1682198919.

The spelling of 54512461 in words is "fifty-four million, five hundred twelve thousand, four hundred sixty-one".