2617632401 has 2 divisors, whose sum is σ = 2617632402. Its totient is φ = 2617632400.

The previous prime is 2617632359. The next prime is 2617632419. The reversal of 2617632401 is 1042367162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2442731776 + 174900625 = 49424^2 + 13225^2 .

It is a cyclic number.

It is not a de Polignac number, because 2617632401 - 2²⁶ = 2550523537 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2617632431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1308816200 + 1308816201.

It is an arithmetic number, because the mean of its divisors is an integer number (1308816201).

Almost surely, 2^2617632401 is an apocalyptic number.

It is an amenable number.

2617632401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2617632401 is an equidigital number, since it uses as much as digits as its factorization.

2617632401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2617632401 is about 51162.8029040630. The cubic root of 2617632401 is about 1378.1702981160.

Adding to 2617632401 its reverse (1042367162), we get a palindrome (3659999563).

The spelling of 2617632401 in words is "two billion, six hundred seventeen million, six hundred thirty-two thousand, four hundred one".