315520066661352 has 256 divisors, whose sum is σ = 963074031206400. Its totient is φ = 84085059502080.

The previous prime is 315520066661347. The next prime is 315520066661377. The reversal of 315520066661352 is 253166660025513.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 315520066661295 and 315520066661304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3007449777 + ... + 3007554687.

It is an arithmetic number, because the mean of its divisors is an integer number (3762007934400).

Almost surely, 2^{315520066661352} 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 315520066661352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481537015603200).

315520066661352 is an abundant number, since it is smaller than the sum of its proper divisors (647553964545048).

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

315520066661352 is a wasteful number, since it uses less digits than its factorization.

315520066661352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114376 (or 114372 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 51.

The spelling of 315520066661352 in words is "three hundred fifteen trillion, five hundred twenty billion, sixty-six million, six hundred sixty-one thousand, three hundred fifty-two".