25068705561 has 27 divisors (see below), whose sum is σ = 36683642749. Its totient is φ = 16496823552.

The previous prime is 25068705553. The next prime is 25068705569. The reversal of 25068705561 is 16550786052.

The square root of 25068705561 is 158331.

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

25068705561 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 87 + 0 + 5 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (25068705553) and next prime (25068705569).

It can be written as a sum of positive squares in 4 ways, for example, as 1150227225 + 23918478336 = 33915^2 + 154656^2 .

It is not a de Polignac number, because 25068705561 - 2³ = 25068705553 is a prime.

It is a super-2 number, since 2×25068705561² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25068705569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42274081 + ... + 42274673.

Almost surely, 2^25068705561 is an apocalyptic number.

25068705561 is the 158331-st square number.

25068705561 is the 79166-th centered octagonal number.

It is an amenable number.

25068705561 is a deficient number, since it is larger than the sum of its proper divisors (11614937188).

25068705561 is an frugal number, since it uses more digits than its factorization.

25068705561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 25068705561 in words is "twenty-five billion, sixty-eight million, seven hundred five thousand, five hundred sixty-one".