25345475356041 has 45 divisors (see below), whose sum is σ = 39214390316101. Its totient is φ = 16313483180736.

The previous prime is 25345475356009. The next prime is 25345475356073. The reversal of 25345475356041 is 14065357454352.

The square root of 25345475356041 is 5034429.

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

25345475356041 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 5 + 4 + 7 + 535 + 60 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (25345475356009) and next prime (25345475356073).

It can be written as a sum of positive squares in 4 ways, for example, as 1267022635641 + 24078452720400 = 1125621^2 + 4906980^2 .

It is not a de Polignac number, because 25345475356041 - 2⁵ = 25345475356009 is a prime.

It is a super-3 number, since 3×25345475356041³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25345475356441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1313976325 + ... + 1313995613.

Almost surely, 2^{25345475356041} is an apocalyptic number.

25345475356041 is the 5034429-th square number.

25345475356041 is the 2517215-th centered octagonal number.

It is an amenable number.

25345475356041 is a deficient number, since it is larger than the sum of its proper divisors (13868914960060).

25345475356041 is an frugal number, since it uses more digits than its factorization.

25345475356041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38648 (or 19321 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 25345475356041 in words is "twenty-five trillion, three hundred forty-five billion, four hundred seventy-five million, three hundred fifty-six thousand, forty-one".