3825611310889 has 27 divisors (see below), whose sum is σ = 4078079806359. Its totient is φ = 3588247091520.

The previous prime is 3825611310877. The next prime is 3825611310893. The reversal of 3825611310889 is 9880131165283.

The square root of 3825611310889 is 1955917.

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., 67410333225 + 3758200977664 = 259635^2 + 1938608^2 .

It is not a de Polignac number, because 3825611310889 - 2⁹ = 3825611310377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3825611310289) 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, 4199353344 + ... + 4199354254.

Almost surely, 2^{3825611310889} is an apocalyptic number.

3825611310889 is the 1955917-th square number.

3825611310889 is the 977959-th centered octagonal number.

It is an amenable number.

3825611310889 is a deficient number, since it is larger than the sum of its proper divisors (252468495470).

3825611310889 is an frugal number, since it uses more digits than its factorization.

3825611310889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 3825611310889 in words is "three trillion, eight hundred twenty-five billion, six hundred eleven million, three hundred ten thousand, eight hundred eighty-nine".