25364629941561 has 9 divisors (see below), whose sum is σ = 36637820628591. Its totient is φ = 16909743221712.

The previous prime is 25364629941559. The next prime is 25364629941589. The reversal of 25364629941561 is 16514992646352.

The square root of 25364629941561 is 5036331.

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

25364629941561 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 4 + 6 + 29 + 9 + 41 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1023668415225 + 24340961526336 = 1011765^2 + 4933656^2 .

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

It is not a de Polignac number, because 25364629941561 - 2¹ = 25364629941559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25364629941551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14269605 + ... + 15948381.

Almost surely, 2^{25364629941561} is an apocalyptic number.

25364629941561 is the 5036331-st square number.

25364629941561 is the 2518166-th centered octagonal number.

It is an amenable number.

25364629941561 is a deficient number, since it is larger than the sum of its proper divisors (11273190687030).

25364629941561 is an frugal number, since it uses more digits than its factorization.

25364629941561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357560 (or 1678780 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 25364629941561 in words is "twenty-five trillion, three hundred sixty-four billion, six hundred twenty-nine million, nine hundred forty-one thousand, five hundred sixty-one".