25553005805825 has 12 divisors (see below), whose sum is σ = 31976421947580. Its totient is φ = 20254859645760.

The previous prime is 25553005805819. The next prime is 25553005805827. The reversal of 25553005805825 is 52850850035552.

It can be written as a sum of positive squares in 6 ways, for example, as 13890272449 + 25539115533376 = 117857^2 + 5053624^2 .

It is not a de Polignac number, because 25553005805825 - 2¹⁰ = 25553005804801 is a prime.

It is a super-2 number, since 2×25553005805825² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25553005805827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4688622194 + ... + 4688627643.

It is an arithmetic number, because the mean of its divisors is an integer number (2664701828965).

Almost surely, 2^{25553005805825} is an apocalyptic number.

25553005805825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25553005805825 is a deficient number, since it is larger than the sum of its proper divisors (6423416141755).

25553005805825 is a wasteful number, since it uses less digits than its factorization.

25553005805825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377249956 (or 9377249951 counting only the distinct ones).

The product of its (nonzero) digits is 12000000, while the sum is 53.

The spelling of 25553005805825 in words is "twenty-five trillion, five hundred fifty-three billion, five million, eight hundred five thousand, eight hundred twenty-five".