87368127561 has 135 divisors (see below), whose sum is σ = 153161879507. Its totient is φ = 47955061440.

The previous prime is 87368127559. The next prime is 87368127611. The reversal of 87368127561 is 16572186378.

It is a happy number.

The square root of 87368127561 is 295581.

It is a perfect power (a square), and thus also a powerful number.

87368127561 is a `hidden beast` number, since 8 + 7 + 3 + 68 + 12 + 7 + 561 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 82710884025 + 4657243536 = 287595^2 + 68244^2 .

It is not a de Polignac number, because 87368127561 - 2¹ = 87368127559 is a prime.

Its product of digits (3386880) is a multiple of the sum of its prime divisors (80).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 87368127498 and 87368127507.

It is not an unprimeable number, because it can be changed into a prime (87368127551) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1648455211 + ... + 1648455263.

Almost surely, 2^87368127561 is an apocalyptic number.

87368127561 is the 295581-st square number.

87368127561 is the 147791-st centered octagonal number.

It is an amenable number.

87368127561 is a deficient number, since it is larger than the sum of its proper divisors (65793751946).

87368127561 is an equidigital number, since it uses as much as digits as its factorization.

87368127561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 80 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 87368127561 in words is "eighty-seven billion, three hundred sixty-eight million, one hundred twenty-seven thousand, five hundred sixty-one".