315025325340000 has 480 divisors, whose sum is σ = 1127390212650240. Its totient is φ = 76362758400000.

The previous prime is 315025325339981. The next prime is 315025325340071. The reversal of 315025325340000 is 43523520513.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×315025325340000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13219128085 + ... + 13219151915.

It is an arithmetic number, because the mean of its divisors is an integer number (2348729609688).

Almost surely, 2^{315025325340000} is an apocalyptic number.

315025325340000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315025325340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563695106325120).

315025325340000 is an abundant number, since it is smaller than the sum of its proper divisors (812364887310240).

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

315025325340000 is a wasteful number, since it uses less digits than its factorization.

315025325340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43904 (or 43881 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 315025325340000 its reverse (43523520513), we get a palindrome (315068848860513).

The spelling of 315025325340000 in words is "three hundred fifteen trillion, twenty-five billion, three hundred twenty-five million, three hundred forty thousand".