351306013241601 has 32 divisors (see below), whose sum is σ = 567769014829440. Its totient is φ = 212912090035200.

The previous prime is 351306013241507. The next prime is 351306013241653. The reversal of 351306013241601 is 106142310603153.

351306013241601 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 0 + 6 + 0 + 1 + 3 + 2 + 41 + 601 = 666.

It is not a de Polignac number, because 351306013241601 - 2²¹ = 351306011144449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (351306013245601) 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, 107590321 + ... + 110807441.

It is an arithmetic number, because the mean of its divisors is an integer number (17742781713420).

Almost surely, 2^{351306013241601} is an apocalyptic number.

It is an amenable number.

351306013241601 is a deficient number, since it is larger than the sum of its proper divisors (216463001587839).

351306013241601 is a wasteful number, since it uses less digits than its factorization.

351306013241601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584814 (or 3584808 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 351306013241601 its reverse (106142310603153), we get a palindrome (457448323844754).

The spelling of 351306013241601 in words is "three hundred fifty-one trillion, three hundred six billion, thirteen million, two hundred forty-one thousand, six hundred one".