25354511361 has 9 divisors (see below), whose sum is σ = 36623873091. Its totient is φ = 16902689112.

The previous prime is 25354511359. The next prime is 25354511387. The reversal of 25354511361 is 16311545352.

The square root of 25354511361 is 159231.

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

25354511361 is a `hidden beast` number, since 2 + 53 + 545 + 1 + 1 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 502880625 + 24851630736 = 22425^2 + 157644^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 25354511361 - 2¹ = 25354511359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25354511461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 451155 + ... + 504231.

Almost surely, 2^25354511361 is an apocalyptic number.

25354511361 is the 159231-st square number.

25354511361 is the 79616-th centered octagonal number.

It is an amenable number.

25354511361 is a deficient number, since it is larger than the sum of its proper divisors (11269361730).

25354511361 is an frugal number, since it uses more digits than its factorization.

25354511361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106160 (or 53080 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Multiplying 25354511361 by its sum of digits (36), we get a square (912762408996 = 955386²).

The spelling of 25354511361 in words is "twenty-five billion, three hundred fifty-four million, five hundred eleven thousand, three hundred sixty-one".