981824625 has 64 divisors (see below), whose sum is σ = 1822229760. Its totient is φ = 521640000.

The previous prime is 981824549. The next prime is 981824699. The reversal of 981824625 is 526428189.

981824625 is a `hidden beast` number, since 9 + 8 + 18 + 2 + 4 + 625 = 666.

981824625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 981824625 - 2⁹ = 981824113 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420530 + ... + 1421220.

It is an arithmetic number, because the mean of its divisors is an integer number (28472340).

Almost surely, 2^981824625 is an apocalyptic number.

It is an amenable number.

981824625 is a deficient number, since it is larger than the sum of its proper divisors (840405135).

981824625 is a wasteful number, since it uses less digits than its factorization.

981824625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 981824625 is about 31334.0808864725. The cubic root of 981824625 is about 993.9044615724.

It can be divided in two parts, 9818 and 24625, that added together give a palindrome (34443).

The spelling of 981824625 in words is "nine hundred eighty-one million, eight hundred twenty-four thousand, six hundred twenty-five".