25710020955025 has 225 divisors, whose sum is σ = 38589121908805. Its totient is φ = 16991465075200.

The previous prime is 25710020955023. The next prime is 25710020955097. The reversal of 25710020955025 is 52055902001752.

The square root of 25710020955025 is 5070505.

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

It can be written as a sum of positive squares in 22 ways, for example, as 20366600365969 + 5343420589056 = 4512937^2 + 2311584^2 .

It is not a de Polignac number, because 25710020955025 - 2¹ = 25710020955023 is a prime.

It is a super-2 number, since 2×25710020955025² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25710020955023) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 886552446711 + ... + 886552446739.

Almost surely, 2^{25710020955025} is an apocalyptic number.

25710020955025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25710020955025 is the 5070505-th square number.

25710020955025 is the 2535253-rd centered octagonal number.

It is an amenable number.

25710020955025 is a deficient number, since it is larger than the sum of its proper divisors (12879100953780).

25710020955025 is an frugal number, since it uses more digits than its factorization.

25710020955025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

Adding to 25710020955025 its reverse (52055902001752), we get a palindrome (77765922956777).

The spelling of 25710020955025 in words is "twenty-five trillion, seven hundred ten billion, twenty million, nine hundred fifty-five thousand, twenty-five".