5261441625 has 96 divisors (see below), whose sum is σ = 10627433856. Its totient is φ = 2481840000.

The previous prime is 5261441573. The next prime is 5261441683.

5261441625 is a `hidden beast` number, since 5 + 2 + 614 + 4 + 16 + 25 = 666.

5261441625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5261441625 - 2¹² = 5261437529 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5261441625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452130 + ... + 463620.

It is an arithmetic number, because the mean of its divisors is an integer number (110702436).

Almost surely, 2^5261441625 is an apocalyptic number.

5261441625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5261441625 is an abundant number, since it is smaller than the sum of its proper divisors (5365992231).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5261441625 is a wasteful number, since it uses less digits than its factorization.

5261441625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560 (or 11547 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5261441625 is about 72535.7954736832. The cubic root of 5261441625 is about 1739.2749902612.

The spelling of 5261441625 in words is "five billion, two hundred sixty-one million, four hundred forty-one thousand, six hundred twenty-five".