1350528303520 has 384 divisors, whose sum is σ = 3674747865600. Its totient is φ = 464545382400.

The previous prime is 1350528303517. The next prime is 1350528303521. The reversal of 1350528303520 is 253038250531.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1350528303520.

It is not an unprimeable number, because it can be changed into a prime (1350528303521) 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, 958500576 + ... + 958501984.

It is an arithmetic number, because the mean of its divisors is an integer number (9569655900).

Almost surely, 2^{1350528303520} is an apocalyptic number.

1350528303520 is a gapful number since it is divisible by the number (10) 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 1350528303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837373932800).

1350528303520 is an abundant number, since it is smaller than the sum of its proper divisors (2324219562080).

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

1350528303520 is a wasteful number, since it uses less digits than its factorization.

1350528303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 1350528303520 in words is "one trillion, three hundred fifty billion, five hundred twenty-eight million, three hundred three thousand, five hundred twenty".