785632400101 has 2 divisors, whose sum is σ = 785632400102. Its totient is φ = 785632400100.

The previous prime is 785632400089. The next prime is 785632400117. The reversal of 785632400101 is 101004236587.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 736848843201 + 48783556900 = 858399^2 + 220870^2 .

It is a cyclic number.

It is not a de Polignac number, because 785632400101 - 2²¹ = 785630302949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (785632404101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 392816200050 + 392816200051.

It is an arithmetic number, because the mean of its divisors is an integer number (392816200051).

Almost surely, 2^785632400101 is an apocalyptic number.

It is an amenable number.

785632400101 is a deficient number, since it is larger than the sum of its proper divisors (1).

785632400101 is an equidigital number, since it uses as much as digits as its factorization.

785632400101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 785632400101 its reverse (101004236587), we get a palindrome (886636636688).

The spelling of 785632400101 in words is "seven hundred eighty-five billion, six hundred thirty-two million, four hundred thousand, one hundred one".