96900841521 has 27 divisors (see below), whose sum is σ = 153865305867. Its totient is φ = 58721556960.

The previous prime is 96900841481. The next prime is 96900841547. The reversal of 96900841521 is 12514800969.

The square root of 96900841521 is 311289.

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., 67363607025 + 29537234496 = 259545^2 + 171864^2 .

It is not a de Polignac number, because 96900841521 - 2¹⁷ = 96900710449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96900841561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10267821 + ... + 10277253.

Almost surely, 2^96900841521 is an apocalyptic number.

96900841521 is the 311289-th square number.

96900841521 is the 155645-th centered octagonal number.

It is an amenable number.

96900841521 is a deficient number, since it is larger than the sum of its proper divisors (56964464346).

96900841521 is an frugal number, since it uses more digits than its factorization.

96900841521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18894 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 96900841521 in words is "ninety-six billion, nine hundred million, eight hundred forty-one thousand, five hundred twenty-one".