91593608907025 has 27 divisors (see below), whose sum is σ = 115036693151121. Its totient is φ = 72344370926880.

The previous prime is 91593608906999. The next prime is 91593608907037. The reversal of 91593608907025 is 52070980639519.

The square root of 91593608907025 is 9570455.

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 28311838466769 + 63281770440256 = 5320887^2 + 7954984^2 .

It is not a de Polignac number, because 91593608907025 - 2¹⁷ = 91593608775953 is a prime.

It is a super-2 number, since 2×91593608907025² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3780317611 + ... + 3780341839.

Almost surely, 2^{91593608907025} is an apocalyptic number.

91593608907025 is the 9570455-th square number.

91593608907025 is the 4785228-th centered octagonal number.

It is an amenable number.

91593608907025 is a deficient number, since it is larger than the sum of its proper divisors (23443084244096).

91593608907025 is an frugal number, since it uses more digits than its factorization.

91593608907025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48626 (or 24313 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 64.

The spelling of 91593608907025 in words is "ninety-one trillion, five hundred ninety-three billion, six hundred eight million, nine hundred seven thousand, twenty-five".