9877851839025 has 81 divisors (see below), whose sum is σ = 17801672740033. Its totient is φ = 5235828297600.

The previous prime is 9877851839003. The next prime is 9877851839027. The reversal of 9877851839025 is 5209381587789.

The square root of 9877851839025 is 3142905.

It is a perfect power (a square), and thus also a powerful number.

9877851839025 is a `hidden beast` number, since 9 + 8 + 7 + 78 + 518 + 39 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1257450492321 + 8620401346704 = 1121361^2 + 2936052^2 .

It is not a de Polignac number, because 9877851839025 - 2⁹ = 9877851838513 is a prime.

It is a Smith number, since the sum of its digits (72) 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 (9877851839027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9004422277 + ... + 9004423373.

Almost surely, 2^{9877851839025} is an apocalyptic number.

9877851839025 is the 3142905-th square number.

9877851839025 is the 1571453-rd centered octagonal number.

It is an amenable number.

9877851839025 is a deficient number, since it is larger than the sum of its proper divisors (7923820901008).

9877851839025 is an equidigital number, since it uses as much as digits as its factorization.

9877851839025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 9877851839025 in words is "nine trillion, eight hundred seventy-seven billion, eight hundred fifty-one million, eight hundred thirty-nine thousand, twenty-five".