900090089753 has 2 divisors, whose sum is σ = 900090089754. Its totient is φ = 900090089752.

The previous prime is 900090089741. The next prime is 900090089803. The reversal of 900090089753 is 357980090009.

It is an a-pointer prime, because the next prime (900090089803) can be obtained adding 900090089753 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 766417955209 + 133672134544 = 875453^2 + 365612^2 .

It is a cyclic number.

It is not a de Polignac number, because 900090089753 - 2⁴ = 900090089737 is a prime.

It is not a weakly prime, because it can be changed into another prime (900090080753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450045044876 + 450045044877.

It is an arithmetic number, because the mean of its divisors is an integer number (450045044877).

Almost surely, 2^900090089753 is an apocalyptic number.

It is an amenable number.

900090089753 is a deficient number, since it is larger than the sum of its proper divisors (1).

900090089753 is an equidigital number, since it uses as much as digits as its factorization.

900090089753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 612360, while the sum is 50.

The spelling of 900090089753 in words is "nine hundred billion, ninety million, eighty-nine thousand, seven hundred fifty-three".