55787133249 has 27 divisors (see below), whose sum is σ = 81336570627. Its totient is φ = 36846108000.

The previous prime is 55787133203. The next prime is 55787133251. The reversal of 55787133249 is 94233178755.

The square root of 55787133249 is 236193.

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

55787133249 is a `hidden beast` number, since 557 + 8 + 7 + 13 + 32 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46890870849 + 8896262400 = 216543^2 + 94320^2 .

It is not a de Polignac number, because 55787133249 - 2¹³ = 55787125057 is a prime.

It is a super-2 number, since 2×55787133249² (a number of 22 digits) contains 22 as substring.

Its product of digits (6350400) is a multiple of the sum of its prime divisors (735).

It is a junction number, because it is equal to n+sod(n) for n = 55787133195 and 55787133204.

It is not an unprimeable number, because it can be changed into a prime (55767133249) 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 26 ways as a sum of consecutive naturals, for example, 92823549 + ... + 92824149.

Almost surely, 2^55787133249 is an apocalyptic number.

55787133249 is the 236193-rd square number.

55787133249 is the 118097-th centered octagonal number.

It is an amenable number.

55787133249 is a deficient number, since it is larger than the sum of its proper divisors (25549437378).

55787133249 is an frugal number, since it uses more digits than its factorization.

55787133249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 55787133249 in words is "fifty-five billion, seven hundred eighty-seven million, one hundred thirty-three thousand, two hundred forty-nine".