10303552512 has 440 divisors, whose sum is σ = 35096257152. Its totient is φ = 2980454400.

The previous prime is 10303552507. The next prime is 10303552549. The reversal of 10303552512 is 21525530301.

It is a happy number.

10303552512 is a `hidden beast` number, since 103 + 0 + 3 + 552 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20984587 + ... + 20985077.

Almost surely, 2^10303552512 is an apocalyptic number.

10303552512 is a gapful number since it is divisible by the number (12) 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 10303552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548128576).

10303552512 is an abundant number, since it is smaller than the sum of its proper divisors (24792704640).

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

10303552512 is a wasteful number, since it uses less digits than its factorization.

10303552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10303552512 in words is "ten billion, three hundred three million, five hundred fifty-two thousand, five hundred twelve".