351313120161 has 64 divisors (see below), whose sum is σ = 559001088000. Its totient is φ = 217380646080.

The previous prime is 351313120153. The next prime is 351313120183. The reversal of 351313120161 is 161021313153.

It is a happy number.

351313120161 is a `hidden beast` number, since 3 + 513 + 13 + 120 + 16 + 1 = 666.

351313120161 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 351313120161 - 2³ = 351313120153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (351313120861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19539906 + ... + 19557876.

It is an arithmetic number, because the mean of its divisors is an integer number (8734392000).

Almost surely, 2^351313120161 is an apocalyptic number.

It is an amenable number.

351313120161 is a deficient number, since it is larger than the sum of its proper divisors (207687967839).

351313120161 is a wasteful number, since it uses less digits than its factorization.

351313120161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18765 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 351313120161 in words is "three hundred fifty-one billion, three hundred thirteen million, one hundred twenty thousand, one hundred sixty-one".