7946831025 has 135 divisors (see below), whose sum is σ = 17184310011. Its totient is φ = 3620000160.

The previous prime is 7946831023. The next prime is 7946831041. The reversal of 7946831025 is 5201386497.

The square root of 7946831025 is 89145.

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

7946831025 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2860859169 + 5085971856 = 53487^2 + 71316^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 7946831025 - 2¹ = 7946831023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

7946831025 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (7946831023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28080534 + ... + 28080816.

It is a 1-persistent number, because it is pandigital, but 2⋅7946831025 = 15893662050 is not.

Almost surely, 2^7946831025 is an apocalyptic number.

7946831025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7946831025 is the 89145-th square number.

7946831025 is the 44573-rd centered octagonal number.

It is an amenable number.

7946831025 is an abundant number, since it is smaller than the sum of its proper divisors (9237478986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7946831025 is an equidigital number, since it uses as much as digits as its factorization.

7946831025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 7946831025 is about 1995.5593999158.

The spelling of 7946831025 in words is "seven billion, nine hundred forty-six million, eight hundred thirty-one thousand, twenty-five".