50783073201 has 105 divisors (see below), whose sum is σ = 89733548091. Its totient is φ = 28621379808.

The previous prime is 50783073199. The next prime is 50783073203. The reversal of 50783073201 is 10237038705.

The square root of 50783073201 is 225351.

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

50783073201 is a `hidden beast` number, since 507 + 83 + 0 + 73 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (50783073199) and next prime (50783073203).

It can be written as a sum of positive squares in only one way, i.e., 28826946225 + 21956126976 = 169785^2 + 148176^2 .

It is not a de Polignac number, because 50783073201 - 2¹ = 50783073199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (50783073203) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 695658501 + ... + 695658573.

Almost surely, 2^50783073201 is an apocalyptic number.

50783073201 is the 225351-st square number.

50783073201 is the 112676-th centered octagonal number.

It is an amenable number.

50783073201 is a deficient number, since it is larger than the sum of its proper divisors (38950474890).

50783073201 is an frugal number, since it uses more digits than its factorization.

50783073201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 50783073201 by its sum of digits (36), we get a square (1828190635236 = 1352106²).

The spelling of 50783073201 in words is "fifty billion, seven hundred eighty-three million, seventy-three thousand, two hundred one".