25322986518025 has 81 divisors (see below), whose sum is σ = 37151499917727. Its totient is φ = 17072426044800.

The previous prime is 25322986518023. The next prime is 25322986518031. The reversal of 25322986518025 is 52081568922352.

The square root of 25322986518025 is 5032195.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23032522206841 + 2290464311184 = 4799221^2 + 1513428^2 .

It is not a de Polignac number, because 25322986518025 - 2¹ = 25322986518023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25322986518023) 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, 10743735147 + ... + 10743737503.

Almost surely, 2^{25322986518025} is an apocalyptic number.

25322986518025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25322986518025 is the 5032195-th square number.

25322986518025 is the 2516098-th centered octagonal number.

It is an amenable number.

25322986518025 is a deficient number, since it is larger than the sum of its proper divisors (11828513399702).

25322986518025 is an frugal number, since it uses more digits than its factorization.

25322986518025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 58.

The spelling of 25322986518025 in words is "twenty-five trillion, three hundred twenty-two billion, nine hundred eighty-six million, five hundred eighteen thousand, twenty-five".