54782679249 has 27 divisors (see below), whose sum is σ = 80511973659. Its totient is φ = 35894981520.

The previous prime is 54782679239. The next prime is 54782679251. The reversal of 54782679249 is 94297628745.

The square root of 54782679249 is 234057.

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

54782679249 is a `hidden beast` number, since 547 + 8 + 2 + 67 + 9 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1781430849 + 53001248400 = 42207^2 + 230220^2 .

It is not a de Polignac number, because 54782679249 - 2¹³ = 54782671057 is a prime.

It is a super-3 number, since 3×54782679249³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (54782679239) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42831792 + ... + 42833070.

Almost surely, 2^54782679249 is an apocalyptic number.

54782679249 is the 234057-th square number.

54782679249 is the 117029-th centered octagonal number.

It is an amenable number.

54782679249 is a deficient number, since it is larger than the sum of its proper divisors (25729294410).

54782679249 is an frugal number, since it uses more digits than its factorization.

54782679249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 1343 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 54782679249 in words is "fifty-four billion, seven hundred eighty-two million, six hundred seventy-nine thousand, two hundred forty-nine".