90135077713 has 2 divisors, whose sum is σ = 90135077714. Its totient is φ = 90135077712.

The previous prime is 90135077701. The next prime is 90135077777. The reversal of 90135077713 is 31777053109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84591977409 + 5543100304 = 290847^2 + 74452^2 .

It is a cyclic number.

It is not a de Polignac number, because 90135077713 - 2¹⁷ = 90134946641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90135077713.

It is not a weakly prime, because it can be changed into another prime (90135077213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45067538856 + 45067538857.

It is an arithmetic number, because the mean of its divisors is an integer number (45067538857).

Almost surely, 2^90135077713 is an apocalyptic number.

It is an amenable number.

90135077713 is a deficient number, since it is larger than the sum of its proper divisors (1).

90135077713 is an equidigital number, since it uses as much as digits as its factorization.

90135077713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138915, while the sum is 43.

The spelling of 90135077713 in words is "ninety billion, one hundred thirty-five million, seventy-seven thousand, seven hundred thirteen".