89509270761 has 27 divisors (see below), whose sum is σ = 133637931063. Its totient is φ = 57729965760.

The previous prime is 89509270759. The next prime is 89509270771. The reversal of 89509270761 is 16707290598.

The square root of 89509270761 is 299181.

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

89509270761 is a `hidden beast` number, since 8 + 9 + 509 + 2 + 70 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80721333225 + 8787937536 = 284115^2 + 93744^2 .

It is not a de Polignac number, because 89509270761 - 2¹ = 89509270759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89509270698 and 89509270707.

It is not an unprimeable number, because it can be changed into a prime (89509270771) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 27822225 + ... + 27825441.

Almost surely, 2^89509270761 is an apocalyptic number.

89509270761 is the 299181-st square number.

89509270761 is the 149591-st centered octagonal number.

It is an amenable number.

89509270761 is a deficient number, since it is larger than the sum of its proper divisors (44128660302).

89509270761 is an frugal number, since it uses more digits than its factorization.

89509270761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 89509270761 in words is "eighty-nine billion, five hundred nine million, two hundred seventy thousand, seven hundred sixty-one".