90500541542413 has 2 divisors, whose sum is σ = 90500541542414. Its totient is φ = 90500541542412.

The previous prime is 90500541542377. The next prime is 90500541542531. The reversal of 90500541542413 is 31424514500509.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90188108614564 + 312432927849 = 9496742^2 + 558957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90500541542413 is a prime.

It is a super-4 number, since 4×90500541542413⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90500541542413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90500541542813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45250270771206 + 45250270771207.

It is an arithmetic number, because the mean of its divisors is an integer number (45250270771207).

Almost surely, 2^{90500541542413} is an apocalyptic number.

It is an amenable number.

90500541542413 is a deficient number, since it is larger than the sum of its proper divisors (1).

90500541542413 is an equidigital number, since it uses as much as digits as its factorization.

90500541542413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 90500541542413 in words is "ninety trillion, five hundred billion, five hundred forty-one million, five hundred forty-two thousand, four hundred thirteen".