23971256642025 has 729 divisors, whose sum is σ = 57372221827557. Its totient is φ = 9898627939200.

The previous prime is 23971256641991. The next prime is 23971256642029. The reversal of 23971256642025 is 52024665217932.

The square root of 23971256642025 is 4896045.

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

23971256642025 is a `hidden beast` number, since 2 + 3 + 9 + 7 + 12 + 566 + 42 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2899190695401 + 21072065946624 = 1702701^2 + 4590432^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is not a de Polignac number, because 23971256642025 - 2¹³ = 23971256633833 is a prime.

It is a super-2 number, since 2×23971256642025² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23971256642029) by changing a digit.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 152683163247 + ... + 152683163403.

Almost surely, 2^{23971256642025} is an apocalyptic number.

23971256642025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23971256642025 is the 4896045-th square number.

23971256642025 is the 2448023-rd centered octagonal number.

It is an amenable number.

23971256642025 is an abundant number, since it is smaller than the sum of its proper divisors (33400965185532).

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

23971256642025 is an frugal number, since it uses more digits than its factorization.

23971256642025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 23971256642025 in words is "twenty-three trillion, nine hundred seventy-one billion, two hundred fifty-six million, six hundred forty-two thousand, twenty-five".