315350254501300 has 144 divisors (see below), whose sum is σ = 705390007400064. Its totient is φ = 122313360960000.

The previous prime is 315350254501291. The next prime is 315350254501307. The reversal of 315350254501300 is 3105452053513.

It is a self number, because there is not a number n which added to its sum of digits gives 315350254501300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315350254501307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5808276954 + ... + 5808331246.

It is an arithmetic number, because the mean of its divisors is an integer number (4898541718056).

Almost surely, 2^{315350254501300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315350254501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352695003700032).

315350254501300 is an abundant number, since it is smaller than the sum of its proper divisors (390039752898764).

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

315350254501300 is a wasteful number, since it uses less digits than its factorization.

315350254501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67850 (or 67843 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

The spelling of 315350254501300 in words is "three hundred fifteen trillion, three hundred fifty billion, two hundred fifty-four million, five hundred one thousand, three hundred".