351142133003541 has 24 divisors (see below), whose sum is σ = 553344750912096. Its totient is φ = 212801923686240.

The previous prime is 351142133003503. The next prime is 351142133003581. The reversal of 351142133003541 is 145300331241153.

351142133003541 is a `hidden beast` number, since 3 + 51 + 14 + 21 + 3 + 30 + 0 + 3 + 541 = 666.

It is not a de Polignac number, because 351142133003541 - 2¹⁷ = 351142132872469 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 351142133003496 and 351142133003505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351142133003581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93909090 + ... + 97576643.

It is an arithmetic number, because the mean of its divisors is an integer number (23056031288004).

Almost surely, 2^{351142133003541} is an apocalyptic number.

It is an amenable number.

351142133003541 is a deficient number, since it is larger than the sum of its proper divisors (202202617908555).

351142133003541 is a wasteful number, since it uses less digits than its factorization.

351142133003541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191504273 (or 191504270 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 351142133003541 its reverse (145300331241153), we get a palindrome (496442464244694).

The spelling of 351142133003541 in words is "three hundred fifty-one trillion, one hundred forty-two billion, one hundred thirty-three million, three thousand, five hundred forty-one".