5214300034125 has 128 divisors (see below), whose sum is σ = 10740626297856. Its totient is φ = 2187598924800.

The previous prime is 5214300034067. The next prime is 5214300034147.

5214300034125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5214300034125 - 2¹² = 5214300030029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5214300034092 and 5214300034101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5462007 + ... + 6345243.

It is an arithmetic number, because the mean of its divisors is an integer number (83911142952).

Almost surely, 2^{5214300034125} is an apocalyptic number.

It is an amenable number.

5214300034125 is an abundant number, since it is smaller than the sum of its proper divisors (5526326263731).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5214300034125 is a wasteful number, since it uses less digits than its factorization.

5214300034125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883448 (or 883438 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 52143000 and 34125, that added together give a palindrome (52177125).

The spelling of 5214300034125 in words is "five trillion, two hundred fourteen billion, three hundred million, thirty-four thousand, one hundred twenty-five".