87565135405 has 24 divisors (see below), whose sum is σ = 115522249752. Its totient is φ = 63670992000.

The previous prime is 87565135393. The next prime is 87565135421. The reversal of 87565135405 is 50453156578.

It can be written as a sum of positive squares in 4 ways, for example, as 11072511076 + 76492624329 = 105226^2 + 276573^2 .

It is not a de Polignac number, because 87565135405 - 2⁹ = 87565134893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 3873435 + ... + 3895975.

It is an arithmetic number, because the mean of its divisors is an integer number (4813427073).

Almost surely, 2^87565135405 is an apocalyptic number.

It is an amenable number.

87565135405 is a deficient number, since it is larger than the sum of its proper divisors (27957114347).

87565135405 is a wasteful number, since it uses less digits than its factorization.

87565135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28989 (or 28978 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 49.

The spelling of 87565135405 in words is "eighty-seven billion, five hundred sixty-five million, one hundred thirty-five thousand, four hundred five".