13825291561 has 9 divisors (see below), whose sum is σ = 13906781661. Its totient is φ = 13744278252.

The previous prime is 13825291541. The next prime is 13825291577. The reversal of 13825291561 is 16519252831.

The square root of 13825291561 is 117581.

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

It is not a de Polignac number, because 13825291561 - 2⁹ = 13825291049 is a prime.

It is a super-2 number, since 2×13825291561² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13825291541) 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, 36097176 + ... + 36097558.

Almost surely, 2^13825291561 is an apocalyptic number.

13825291561 is the 117581-st square number.

13825291561 is the 58791-st centered octagonal number.

It is an amenable number.

13825291561 is a deficient number, since it is larger than the sum of its proper divisors (81490100).

13825291561 is an frugal number, since it uses more digits than its factorization.

13825291561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The spelling of 13825291561 in words is "thirteen billion, eight hundred twenty-five million, two hundred ninety-one thousand, five hundred sixty-one".