1005220505352 has 128 divisors (see below), whose sum is σ = 2878686086400. Its totient is φ = 286543948800.

The previous prime is 1005220505293. The next prime is 1005220505447. The reversal of 1005220505352 is 2535050225001.

1005220505352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146338174 + ... + 146345042.

It is an arithmetic number, because the mean of its divisors is an integer number (22489735050).

Almost surely, 2^{1005220505352} is an apocalyptic number.

1005220505352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005220505352 is an abundant number, since it is smaller than the sum of its proper divisors (1873465581048).

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

1005220505352 is a wasteful number, since it uses less digits than its factorization.

1005220505352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 1005220505352 in words is "one trillion, five billion, two hundred twenty million, five hundred five thousand, three hundred fifty-two".