981249129 has 48 divisors (see below), whose sum is σ = 1805431680. Its totient is φ = 499944960.

The previous prime is 981249083. The next prime is 981249131. The reversal of 981249129 is 921942189.

It is not a de Polignac number, because 981249129 - 2¹² = 981245033 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (981249149) 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 47 ways as a sum of consecutive naturals, for example, 3762 + ... + 44459.

It is an arithmetic number, because the mean of its divisors is an integer number (37613160).

Almost surely, 2^981249129 is an apocalyptic number.

It is an amenable number.

981249129 is a deficient number, since it is larger than the sum of its proper divisors (824182551).

981249129 is a wasteful number, since it uses less digits than its factorization.

981249129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48270 (or 48267 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 981249129 is about 31324.8963126776. The cubic root of 981249129 is about 993.7102314215.

The spelling of 981249129 in words is "nine hundred eighty-one million, two hundred forty-nine thousand, one hundred twenty-nine".