2132500041 has 45 divisors (see below), whose sum is σ = 3710744631. Its totient is φ = 1216909008.

The previous prime is 2132500033. The next prime is 2132500061. The reversal of 2132500041 is 1400052312.

The square root of 2132500041 is 46179.

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., 2086205625 + 46294416 = 45675^2 + 6804^2 .

It is not a de Polignac number, because 2132500041 - 2³ = 2132500033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2132499987 and 2132500023.

It is not an unprimeable number, because it can be changed into a prime (2132500021) 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 44 ways as a sum of consecutive naturals, for example, 2908911 + ... + 2909643.

Almost surely, 2^2132500041 is an apocalyptic number.

2132500041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2132500041 is the 46179-th square number.

2132500041 is the 23090-th centered octagonal number.

It is an amenable number.

2132500041 is a deficient number, since it is larger than the sum of its proper divisors (1578244590).

2132500041 is an frugal number, since it uses more digits than its factorization.

2132500041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 2132500041 is about 1287.1515462082.

Adding to 2132500041 its reverse (1400052312), we get a palindrome (3532552353).

The spelling of 2132500041 in words is "two billion, one hundred thirty-two million, five hundred thousand, forty-one".