3824117136225 has 27 divisors (see below), whose sum is σ = 6849471231993. Its totient is φ = 2039513495040.

The previous prime is 3824117136181. The next prime is 3824117136227. The reversal of 3824117136225 is 5226317114283.

The square root of 3824117136225 is 1955535.

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

3824117136225 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 1 + 1 + 7 + 13 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 580703437521 + 3243413698704 = 762039^2 + 1800948^2 .

It is not a de Polignac number, because 3824117136225 - 2¹³ = 3824117128033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3824117136227) 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, 29267841 + ... + 29398209.

Almost surely, 2^{3824117136225} is an apocalyptic number.

3824117136225 is the 1955535-th square number.

3824117136225 is the 977768-th centered octagonal number.

It is an amenable number.

3824117136225 is a deficient number, since it is larger than the sum of its proper divisors (3025354095768).

3824117136225 is an frugal number, since it uses more digits than its factorization.

3824117136225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260754 (or 130377 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 3824117136225 in words is "three trillion, eight hundred twenty-four billion, one hundred seventeen million, one hundred thirty-six thousand, two hundred twenty-five".