214505310153 has 16 divisors (see below), whose sum is σ = 295575650496. Its totient is φ = 138280988160.

The previous prime is 214505310137. The next prime is 214505310163. The reversal of 214505310153 is 351013505412.

214505310153 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 214505310153 - 2⁴ = 214505310137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214505310153.

It is not an unprimeable number, because it can be changed into a prime (214505310163) 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, 7702675 + ... + 7730472.

It is an arithmetic number, because the mean of its divisors is an integer number (18473478156).

Almost surely, 2^214505310153 is an apocalyptic number.

It is an amenable number.

214505310153 is a deficient number, since it is larger than the sum of its proper divisors (81070340343).

214505310153 is a wasteful number, since it uses less digits than its factorization.

214505310153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15433304.

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 214505310153 its reverse (351013505412), we get a palindrome (565518815565).

The spelling of 214505310153 in words is "two hundred fourteen billion, five hundred five million, three hundred ten thousand, one hundred fifty-three".