90153248321 has 2 divisors, whose sum is σ = 90153248322. Its totient is φ = 90153248320.

The previous prime is 90153248309. The next prime is 90153248351. The reversal of 90153248321 is 12384235109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88890441025 + 1262807296 = 298145^2 + 35536^2 .

It is a cyclic number.

It is not a de Polignac number, because 90153248321 - 2¹⁰ = 90153247297 is a prime.

It is not a weakly prime, because it can be changed into another prime (90153248351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45076624160 + 45076624161.

It is an arithmetic number, because the mean of its divisors is an integer number (45076624161).

Almost surely, 2^90153248321 is an apocalyptic number.

It is an amenable number.

90153248321 is a deficient number, since it is larger than the sum of its proper divisors (1).

90153248321 is an equidigital number, since it uses as much as digits as its factorization.

90153248321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 90153248321 in words is "ninety billion, one hundred fifty-three million, two hundred forty-eight thousand, three hundred twenty-one".