352615315050 has 216 divisors, whose sum is σ = 988303994496. Its totient is φ = 90113316480.

The previous prime is 352615315033. The next prime is 352615315061. The reversal of 352615315050 is 50513516253.

352615315050 is a `hidden beast` number, since 3 + 5 + 2 + 615 + 31 + 5 + 0 + 5 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 352615314996 and 352615315014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41271079 + ... + 41279621.

It is an arithmetic number, because the mean of its divisors is an integer number (4575481456).

Almost surely, 2^352615315050 is an apocalyptic number.

352615315050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352615315050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494151997248).

352615315050 is an abundant number, since it is smaller than the sum of its proper divisors (635688679446).

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

352615315050 is a wasteful number, since it uses less digits than its factorization.

352615315050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 352615315050 in words is "three hundred fifty-two billion, six hundred fifteen million, three hundred fifteen thousand, fifty".