50737129 has 9 divisors (see below), whose sum is σ = 54026167. Its totient is φ = 47638624.

The previous prime is 50737123. The next prime is 50737133. The reversal of 50737129 is 92173705.

The square root of 50737129 is 7123.

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

It can be written as a sum of positive squares in only one way, i.e., 39501225 + 11235904 = 6285^2 + 3352^2 .

It is not a de Polignac number, because 50737129 - 2¹⁵ = 50704361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 50737094 and 50737103.

It is not an unprimeable number, because it can be changed into a prime (50737123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120882 + ... + 121300.

Almost surely, 2^50737129 is an apocalyptic number.

50737129 is the 7123-rd square number.

50737129 is the 3562-nd centered octagonal number.

It is an amenable number.

50737129 is a deficient number, since it is larger than the sum of its proper divisors (3289038).

50737129 is an frugal number, since it uses more digits than its factorization.

50737129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The cubic root of 50737129 is about 370.2047296485.

It can be divided in two parts, 507 and 37129, that added together give a square (37636 = 194²).

The spelling of 50737129 in words is "fifty million, seven hundred thirty-seven thousand, one hundred twenty-nine".