90252385334849 has 2 divisors, whose sum is σ = 90252385334850. Its totient is φ = 90252385334848.

The previous prime is 90252385334647. The next prime is 90252385334869. The reversal of 90252385334849 is 94843358325209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72804580153600 + 17447805181249 = 8532560^2 + 4177057^2 .

It is a cyclic number.

It is not a de Polignac number, because 90252385334849 - 2¹⁶ = 90252385269313 is a prime.

It is not a weakly prime, because it can be changed into another prime (90252385334869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45126192667424 + 45126192667425.

It is an arithmetic number, because the mean of its divisors is an integer number (45126192667425).

Almost surely, 2^{90252385334849} is an apocalyptic number.

It is an amenable number.

90252385334849 is a deficient number, since it is larger than the sum of its proper divisors (1).

90252385334849 is an equidigital number, since it uses as much as digits as its factorization.

90252385334849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 223948800, while the sum is 65.

The spelling of 90252385334849 in words is "ninety trillion, two hundred fifty-two billion, three hundred eighty-five million, three hundred thirty-four thousand, eight hundred forty-nine".