87535185088601 has 2 divisors, whose sum is σ = 87535185088602. Its totient is φ = 87535185088600.

The previous prime is 87535185088553. The next prime is 87535185088607. The reversal of 87535185088601 is 10688058153578.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87535185088576 + 25 = 9356024^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 87535185088601 - 2⁶ = 87535185088537 is a prime.

It is not a weakly prime, because it can be changed into another prime (87535185088607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43767592544300 + 43767592544301.

It is an arithmetic number, because the mean of its divisors is an integer number (43767592544301).

Almost surely, 2^{87535185088601} is an apocalyptic number.

It is an amenable number.

87535185088601 is a deficient number, since it is larger than the sum of its proper divisors (1).

87535185088601 is an equidigital number, since it uses as much as digits as its factorization.

87535185088601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512000, while the sum is 65.

The spelling of 87535185088601 in words is "eighty-seven trillion, five hundred thirty-five billion, one hundred eighty-five million, eighty-eight thousand, six hundred one".