5001035905152 has 288 divisors, whose sum is σ = 17725294882620. Its totient is φ = 1344816119808.

The previous prime is 5001035905147. The next prime is 5001035905153. The reversal of 5001035905152 is 2515095301005.

5001035905152 is a `hidden beast` number, since 5 + 0 + 0 + 10 + 3 + 590 + 5 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4990291338816 + 10744566336 = 2233896^2 + 103656^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5001035905153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1646133 + ... + 3565364.

Almost surely, 2^{5001035905152} is an apocalyptic number.

It is an amenable number.

5001035905152 is an abundant number, since it is smaller than the sum of its proper divisors (12724258977468).

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

5001035905152 is a wasteful number, since it uses less digits than its factorization.

5001035905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211548 (or 5211526 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 5001035905152 in words is "five trillion, one billion, thirty-five million, nine hundred five thousand, one hundred fifty-two".