87575156761 has 9 divisors (see below), whose sum is σ = 88251178431. Its totient is φ = 86904281184.

The previous prime is 87575156749. The next prime is 87575156813. The reversal of 87575156761 is 16765157578.

The square root of 87575156761 is 295931.

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

It can be written as a sum of positive squares in only one way, i.e., 22161979161 + 65413177600 = 148869^2 + 255760^2 .

It is a de Polignac number, because none of the positive numbers 2^k-87575156761 is a prime.

It is a super-3 number, since 3×87575156761³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87575156696 and 87575156705.

It is not an unprimeable number, because it can be changed into a prime (87575156561) 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 8 ways as a sum of consecutive naturals, for example, 41133345 + ... + 41135473.

Almost surely, 2^87575156761 is an apocalyptic number.

87575156761 is the 295931-st square number.

87575156761 is the 147966-th centered octagonal number.

It is an amenable number.

87575156761 is a deficient number, since it is larger than the sum of its proper divisors (676021670).

87575156761 is an frugal number, since it uses more digits than its factorization.

87575156761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 2268 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 58.

The spelling of 87575156761 in words is "eighty-seven billion, five hundred seventy-five million, one hundred fifty-six thousand, seven hundred sixty-one".