25271142961 has 9 divisors (see below), whose sum is σ = 25643540793. Its totient is φ = 24904083540.

The previous prime is 25271142913. The next prime is 25271142989. The reversal of 25271142961 is 16924117252.

The square root of 25271142961 is 158969.

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

It is not a de Polignac number, because 25271142961 - 2¹⁷ = 25271011889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25271146961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11285680 + ... + 11287918.

Almost surely, 2^25271142961 is an apocalyptic number.

25271142961 is the 158969-th square number.

25271142961 is the 79485-th centered octagonal number.

It is an amenable number.

25271142961 is a deficient number, since it is larger than the sum of its proper divisors (372397832).

25271142961 is an frugal number, since it uses more digits than its factorization.

25271142961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 2310 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The spelling of 25271142961 in words is "twenty-five billion, two hundred seventy-one million, one hundred forty-two thousand, nine hundred sixty-one".