96777610281 has 45 divisors (see below), whose sum is σ = 153947550055. Its totient is φ = 58584657120.

The previous prime is 96777610273. The next prime is 96777610283. The reversal of 96777610281 is 18201677769.

The square root of 96777610281 is 311091.

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., 89685275625 + 7092334656 = 299475^2 + 84216^2 .

It is not a de Polignac number, because 96777610281 - 2³ = 96777610273 is a prime.

It is a super-3 number, since 3×96777610281³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96777610283) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 112925605 + ... + 112926461.

Almost surely, 2^96777610281 is an apocalyptic number.

96777610281 is the 311091-st square number.

96777610281 is the 155546-th centered octagonal number.

It is an amenable number.

96777610281 is a deficient number, since it is larger than the sum of its proper divisors (57169939774).

96777610281 is an frugal number, since it uses more digits than its factorization.

96777610281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 96777610281 in words is "ninety-six billion, seven hundred seventy-seven million, six hundred ten thousand, two hundred eighty-one".