2012511565350 has 576 divisors, whose sum is σ = 6466046146560. Its totient is φ = 442323763200.

The previous prime is 2012511565313. The next prime is 2012511565373. The reversal of 2012511565350 is 535651152102.

2012511565350 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 5 + 115 + 6 + 535 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2617049766 + ... + 2617050534.

It is an arithmetic number, because the mean of its divisors is an integer number (11225774560).

Almost surely, 2^{2012511565350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012511565350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233023073280).

2012511565350 is an abundant number, since it is smaller than the sum of its proper divisors (4453534581210).

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

2012511565350 is a wasteful number, since it uses less digits than its factorization.

2012511565350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 2012511565350 in words is "two trillion, twelve billion, five hundred eleven million, five hundred sixty-five thousand, three hundred fifty".