2551632101 has 2 divisors, whose sum is σ = 2551632102. Its totient is φ = 2551632100.

The previous prime is 2551632079. The next prime is 2551632107. The reversal of 2551632101 is 1012361552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2542781476 + 8850625 = 50426^2 + 2975^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551632101 - 2¹⁰ = 2551631077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2551632107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1275816050 + 1275816051.

It is an arithmetic number, because the mean of its divisors is an integer number (1275816051).

Almost surely, 2^2551632101 is an apocalyptic number.

It is an amenable number.

2551632101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551632101 is an equidigital number, since it uses as much as digits as its factorization.

2551632101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 2551632101 is about 50513.6823147947. The cubic root of 2551632101 is about 1366.4886193262.

Adding to 2551632101 its reverse (1012361552), we get a palindrome (3563993653).

The spelling of 2551632101 in words is "two billion, five hundred fifty-one million, six hundred thirty-two thousand, one hundred one".