50164800625 has 75 divisors (see below), whose sum is σ = 68821573953. Its totient is φ = 36552720000.

The previous prime is 50164800599. The next prime is 50164800629. The reversal of 50164800625 is 52600846105.

The square root of 50164800625 is 223975.

It is a perfect power (a square), and thus also a powerful number.

50164800625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 45580969009 + 4583831616 = 213497^2 + 67704^2 .

It is not a de Polignac number, because 50164800625 - 2⁵ = 50164800593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50164800629) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1618219360 + ... + 1618219390.

Almost surely, 2^50164800625 is an apocalyptic number.

50164800625 is the 223975-th square number.

50164800625 is the 111988-th centered octagonal number.

It is an amenable number.

50164800625 is a deficient number, since it is larger than the sum of its proper divisors (18656773328).

50164800625 is an frugal number, since it uses more digits than its factorization.

50164800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 50164800625 in words is "fifty billion, one hundred sixty-four million, eight hundred thousand, six hundred twenty-five".