25958961 has 28 divisors (see below), whose sum is σ = 44489472. Its totient is φ = 14830776.

The previous prime is 25958951. The next prime is 25958963. The reversal of 25958961 is 16985952.

25958961 is a `hidden beast` number, since 2 + 5 + 9 + 589 + 61 = 666.

It is not a de Polignac number, because 25958961 - 2¹⁴ = 25942577 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25958963) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2560 + ... + 7646.

Almost surely, 2^25958961 is an apocalyptic number.

25958961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25958961 is a deficient number, since it is larger than the sum of its proper divisors (18530511).

25958961 is an frugal number, since it uses more digits than its factorization.

25958961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5097 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 25958961 is about 5094.9937193288. The cubic root of 25958961 is about 296.0936556876.

The spelling of 25958961 in words is "twenty-five million, nine hundred fifty-eight thousand, nine hundred sixty-one".