54257782489 has 9 divisors (see below), whose sum is σ = 54785763837. Its totient is φ = 53734847904.

The previous prime is 54257782433. The next prime is 54257782499. The reversal of 54257782489 is 98428775245.

It is a happy number.

The square root of 54257782489 is 232933.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7035015625 + 47222766864 = 83875^2 + 217308^2 .

It is not a de Polignac number, because 54257782489 - 2¹³ = 54257774297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54257782409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25388629 + ... + 25390765.

It is an arithmetic number, because the mean of its divisors is an integer number (6087307093).

Almost surely, 2^54257782489 is an apocalyptic number.

54257782489 is the 232933-rd square number.

54257782489 is the 116467-th centered octagonal number.

It is an amenable number.

54257782489 is a deficient number, since it is larger than the sum of its proper divisors (527981348).

54257782489 is an frugal number, since it uses more digits than its factorization.

54257782489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 2246 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 61.

The spelling of 54257782489 in words is "fifty-four billion, two hundred fifty-seven million, seven hundred eighty-two thousand, four hundred eighty-nine".