99506031523441 has 9 divisors (see below), whose sum is σ = 99570303773451. Its totient is φ = 99441800753472.

The previous prime is 99506031523421. The next prime is 99506031523453. The reversal of 99506031523441 is 14432513060599.

The square root of 99506031523441 is 9975271.

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., 60088930407025 + 39417101116416 = 7751705^2 + 6278304^2 .

It is not a de Polignac number, because 99506031523441 - 2¹⁵ = 99506031490673 is a prime.

It is a super-3 number, since 3×99506031523441³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99506031523421) 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, 25865875780 + ... + 25865879626.

It is an arithmetic number, because the mean of its divisors is an integer number (11063367085939).

Almost surely, 2^{99506031523441} is an apocalyptic number.

99506031523441 is the 9975271-st square number.

99506031523441 is the 4987636-th centered octagonal number.

It is an amenable number.

99506031523441 is a deficient number, since it is larger than the sum of its proper divisors (64272250010).

99506031523441 is an frugal number, since it uses more digits than its factorization.

99506031523441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 99506031523441 in words is "ninety-nine trillion, five hundred six billion, thirty-one million, five hundred twenty-three thousand, four hundred forty-one".