90419387013 has 48 divisors (see below), whose sum is σ = 138742422000. Its totient is φ = 56655728640.

The previous prime is 90419386961. The next prime is 90419387017. The reversal of 90419387013 is 31078391409.

It can be written as a sum of positive squares in 8 ways, for example, as 11917433889 + 78501953124 = 109167^2 + 280182^2 .

It is not a de Polignac number, because 90419387013 - 2¹² = 90419382917 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90419387013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90419387017) 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 in 47 ways as a sum of consecutive naturals, for example, 1515063 + ... + 1573611.

It is an arithmetic number, because the mean of its divisors is an integer number (2890467125).

Almost surely, 2^90419387013 is an apocalyptic number.

It is an amenable number.

90419387013 is a deficient number, since it is larger than the sum of its proper divisors (48323034987).

90419387013 is a wasteful number, since it uses less digits than its factorization.

90419387013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58742 (or 58739 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 90419387013 in words is "ninety billion, four hundred nineteen million, three hundred eighty-seven thousand, thirteen".