2537842129 has 3 divisors (see below), whose sum is σ = 2537892507. Its totient is φ = 2537791752.

The previous prime is 2537842121. The next prime is 2537842133. The reversal of 2537842129 is 9212487352.

The square root of 2537842129 is 50377.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1843414225 + 694427904 = 42935^2 + 26352^2 .

It is not a de Polignac number, because 2537842129 - 2³ = 2537842121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2537842121) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25189 + ... + 75565.

It is an arithmetic number, because the mean of its divisors is an integer number (845964169).

Almost surely, 2^2537842129 is an apocalyptic number.

2537842129 is the 50377-th square number.

2537842129 is the 25189-th centered octagonal number.

It is an amenable number.

2537842129 is a deficient number, since it is larger than the sum of its proper divisors (50378).

2537842129 is an frugal number, since it uses more digits than its factorization.

2537842129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100754 (or 50377 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The cubic root of 2537842129 is about 1364.0224999012.

The spelling of 2537842129 in words is "two billion, five hundred thirty-seven million, eight hundred forty-two thousand, one hundred twenty-nine".