87758137601 has 8 divisors (see below), whose sum is σ = 89452800360. Its totient is φ = 86064913792.

The previous prime is 87758137543. The next prime is 87758137627. The reversal of 87758137601 is 10673185778.

It is a Cunningham number, because it is equal to 296240²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 27563968576 + 60194169025 = 166024^2 + 245345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87758137601 - 2³⁴ = 70578268417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87758137651) 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 7 ways as a sum of consecutive naturals, for example, 236180 + ... + 480933.

It is an arithmetic number, because the mean of its divisors is an integer number (11181600045).

Almost surely, 2^87758137601 is an apocalyptic number.

It is an amenable number.

87758137601 is a deficient number, since it is larger than the sum of its proper divisors (1694662759).

87758137601 is a wasteful number, since it uses less digits than its factorization.

87758137601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719475.

The product of its (nonzero) digits is 1975680, while the sum is 53.

The spelling of 87758137601 in words is "eighty-seven billion, seven hundred fifty-eight million, one hundred thirty-seven thousand, six hundred one".