89257372163657 has 2 divisors, whose sum is σ = 89257372163658. Its totient is φ = 89257372163656.

The previous prime is 89257372163623. The next prime is 89257372163671. The reversal of 89257372163657 is 75636127375298.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70377686717881 + 18879685445776 = 8389141^2 + 4345076^2 .

It is a cyclic number.

It is not a de Polignac number, because 89257372163657 - 2¹⁶ = 89257372098121 is a prime.

It is a super-3 number, since 3×89257372163657³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (89257372163957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44628686081828 + 44628686081829.

It is an arithmetic number, because the mean of its divisors is an integer number (44628686081829).

Almost surely, 2^{89257372163657} is an apocalyptic number.

It is an amenable number.

89257372163657 is a deficient number, since it is larger than the sum of its proper divisors (1).

89257372163657 is an equidigital number, since it uses as much as digits as its factorization.

89257372163657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 800150400, while the sum is 71.

The spelling of 89257372163657 in words is "eighty-nine trillion, two hundred fifty-seven billion, three hundred seventy-two million, one hundred sixty-three thousand, six hundred fifty-seven".