5313125313210 has 256 divisors, whose sum is σ = 16199506649088. Its totient is φ = 1095203328000.

The previous prime is 5313125313191. The next prime is 5313125313217. The reversal of 5313125313210 is 123135213135.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5313125313217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2652685 + ... + 4202735.

It is an arithmetic number, because the mean of its divisors is an integer number (63279322848).

Almost surely, 2^{5313125313210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313125313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099753324544).

5313125313210 is an abundant number, since it is smaller than the sum of its proper divisors (10886381335878).

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

5313125313210 is a wasteful number, since it uses less digits than its factorization.

5313125313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550149.

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 5313125 and 313210, that added together give a triangular number (5626335 = T₃₃₅₄).

The spelling of 5313125313210 in words is "five trillion, three hundred thirteen billion, one hundred twenty-five million, three hundred thirteen thousand, two hundred ten".