993401513251 has 16 divisors (see below), whose sum is σ = 1140488999424. Its totient is φ = 847613409984.

The previous prime is 993401513207. The next prime is 993401513281. The reversal of 993401513251 is 152315104399.

It is a cyclic number.

It is not a de Polignac number, because 993401513251 - 2³⁹ = 443645699363 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993401513198 and 993401513207.

It is not an unprimeable number, because it can be changed into a prime (993401513281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692255 + ... + 2202391.

It is an arithmetic number, because the mean of its divisors is an integer number (71280562464).

Almost surely, 2^993401513251 is an apocalyptic number.

993401513251 is a deficient number, since it is larger than the sum of its proper divisors (147087486173).

993401513251 is a wasteful number, since it uses less digits than its factorization.

993401513251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511410.

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 993401513251 in words is "nine hundred ninety-three billion, four hundred one million, five hundred thirteen thousand, two hundred fifty-one".