89695541217529 has 9 divisors (see below), whose sum is σ = 97126074401229. Its totient is φ = 82795770551520.

The previous prime is 89695541217479. The next prime is 89695541217551. The reversal of 89695541217529 is 92571214559698.

The square root of 89695541217529 is 9470773.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61464894402025 + 28230646815504 = 7839955^2 + 5313252^2 .

It is a de Polignac number, because none of the positive numbers 2^k-89695541217529 is a prime.

It is a super-2 number, since 2×89695541217529² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89695541257529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122755789 + ... + 123484309.

It is an arithmetic number, because the mean of its divisors is an integer number (10791786044581).

Almost surely, 2^{89695541217529} is an apocalyptic number.

89695541217529 is the 9470773-rd square number.

89695541217529 is the 4735387-th centered octagonal number.

It is an amenable number.

89695541217529 is a deficient number, since it is larger than the sum of its proper divisors (7430533183700).

89695541217529 is an frugal number, since it uses more digits than its factorization.

89695541217529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457068 (or 728534 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 73.

The spelling of 89695541217529 in words is "eighty-nine trillion, six hundred ninety-five billion, five hundred forty-one million, two hundred seventeen thousand, five hundred twenty-nine".