313001460165252 has 192 divisors, whose sum is σ = 789743349964800. Its totient is φ = 96127665199104.

The previous prime is 313001460165221. The next prime is 313001460165253. The reversal of 313001460165252 is 252561064100313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 313001460165252.

It is not an unprimeable number, because it can be changed into a prime (313001460165253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2323642999 + ... + 2323777697.

It is an arithmetic number, because the mean of its divisors is an integer number (4113246614400).

Almost surely, 2^{313001460165252} 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 313001460165252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394871674982400).

313001460165252 is an abundant number, since it is smaller than the sum of its proper divisors (476741889799548).

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

313001460165252 is a wasteful number, since it uses less digits than its factorization.

313001460165252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135850 (or 135848 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 313001460165252 in words is "three hundred thirteen trillion, one billion, four hundred sixty million, one hundred sixty-five thousand, two hundred fifty-two".