993813601 has 32 divisors (see below), whose sum is σ = 1206374400. Its totient is φ = 808030080.

The previous prime is 993813589. The next prime is 993813619. The reversal of 993813601 is 106318399.

993813601 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 993813601 - 2¹⁵ = 993780833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (993813661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378445 + ... + 381061.

It is an arithmetic number, because the mean of its divisors is an integer number (37699200).

Almost surely, 2^993813601 is an apocalyptic number.

It is an amenable number.

993813601 is a deficient number, since it is larger than the sum of its proper divisors (212560799).

993813601 is a wasteful number, since it uses less digits than its factorization.

993813601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749.

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 993813601 is about 31524.8092936341. The cubic root of 993813601 is about 997.9335999319.

The spelling of 993813601 in words is "nine hundred ninety-three million, eight hundred thirteen thousand, six hundred one".