993125854249 has 45 divisors (see below), whose sum is σ = 1108311695205. Its totient is φ = 889726089600.

The previous prime is 993125854199. The next prime is 993125854267. The reversal of 993125854249 is 942458521399.

The square root of 993125854249 is 996557.

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

It can be written as a sum of positive squares in 4 ways, for example, as 91636371225 + 901489483024 = 302715^2 + 949468^2 .

It is not a de Polignac number, because 993125854249 - 2¹⁵ = 993125821481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993125854949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16280751679 + ... + 16280751739.

Almost surely, 2^993125854249 is an apocalyptic number.

993125854249 is the 996557-th square number.

993125854249 is the 498279-th centered octagonal number.

It is an amenable number.

993125854249 is a deficient number, since it is larger than the sum of its proper divisors (115185840956).

993125854249 is an frugal number, since it uses more digits than its factorization.

993125854249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 109 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 61.

The spelling of 993125854249 in words is "nine hundred ninety-three billion, one hundred twenty-five million, eight hundred fifty-four thousand, two hundred forty-nine".