25311755904241 has 9 divisors (see below), whose sum is σ = 25340440349259. Its totient is φ = 25283103909336.

The previous prime is 25311755904217. The next prime is 25311755904257. The reversal of 25311755904241 is 14240955711352.

The square root of 25311755904241 is 5031079.

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

It can be written as a sum of positive squares in only one way, i.e., 24942583005025 + 369172899216 = 4994255^2 + 607596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25311755904241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25311755901241) 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, 5498967046 + ... + 5498971648.

It is an arithmetic number, because the mean of its divisors is an integer number (2815604483251).

Almost surely, 2^{25311755904241} is an apocalyptic number.

25311755904241 is the 5031079-th square number.

25311755904241 is the 2515540-th centered octagonal number.

It is an amenable number.

25311755904241 is a deficient number, since it is larger than the sum of its proper divisors (28684445018).

25311755904241 is an frugal number, since it uses more digits than its factorization.

25311755904241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 25311755904241 in words is "twenty-five trillion, three hundred eleven billion, seven hundred fifty-five million, nine hundred four thousand, two hundred forty-one".