87829906249 has 2 divisors, whose sum is σ = 87829906250. Its totient is φ = 87829906248.

The previous prime is 87829906201. The next prime is 87829906267. The reversal of 87829906249 is 94260992878.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82782798400 + 5047107849 = 287720^2 + 71043^2 .

It is a cyclic number.

It is not a de Polignac number, because 87829906249 - 2²⁵ = 87796351817 is a prime.

It is not a weakly prime, because it can be changed into another prime (87829996249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43914953124 + 43914953125.

It is an arithmetic number, because the mean of its divisors is an integer number (43914953125).

Almost surely, 2^87829906249 is an apocalyptic number.

It is an amenable number.

87829906249 is a deficient number, since it is larger than the sum of its proper divisors (1).

87829906249 is an equidigital number, since it uses as much as digits as its factorization.

87829906249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 87829906249 in words is "eighty-seven billion, eight hundred twenty-nine million, nine hundred six thousand, two hundred forty-nine".