1984555125 has 192 divisors, whose sum is σ = 4315584000. Its totient is φ = 876355200.

The previous prime is 1984555123. The next prime is 1984555127. The reversal of 1984555125 is 5215554891.

1984555125 is a `hidden beast` number, since 1 + 9 + 84 + 55 + 512 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1984555123) and next prime (1984555127).

It is not a de Polignac number, because 1984555125 - 2¹ = 1984555123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984555123) 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 191 ways as a sum of consecutive naturals, for example, 14277306 + ... + 14277444.

It is an arithmetic number, because the mean of its divisors is an integer number (22477000).

Almost surely, 2^1984555125 is an apocalyptic number.

1984555125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1984555125 is an abundant number, since it is smaller than the sum of its proper divisors (2331028875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1984555125 is a wasteful number, since it uses less digits than its factorization.

1984555125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its digits is 360000, while the sum is 45.

The square root of 1984555125 is about 44548.3459288894. The cubic root of 1984555125 is about 1256.6694448487.

It can be divided in two parts, 19845 and 55125, that multiplied together give a square (1093955625 = 33075²).

The spelling of 1984555125 in words is "one billion, nine hundred eighty-four million, five hundred fifty-five thousand, one hundred twenty-five".