25257434813 has 30 divisors (see below), whose sum is σ = 27917631126. Its totient is φ = 22849995168.

The previous prime is 25257434777. The next prime is 25257434819. The reversal of 25257434813 is 31843475252.

It can be written as a sum of positive squares in 5 ways, for example, as 14318994244 + 10938440569 = 119662^2 + 104587^2 .

It is not a de Polignac number, because 25257434813 - 2³⁰ = 24183692989 is a prime.

It is a super-3 number, since 3×25257434813³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25257434819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128210231 + ... + 128210427.

Almost surely, 2^25257434813 is an apocalyptic number.

It is an amenable number.

25257434813 is a deficient number, since it is larger than the sum of its proper divisors (2660196313).

25257434813 is an frugal number, since it uses more digits than its factorization.

25257434813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 277 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The spelling of 25257434813 in words is "twenty-five billion, two hundred fifty-seven million, four hundred thirty-four thousand, eight hundred thirteen".