251205041133 has 12 divisors (see below), whose sum is σ = 362871524860. Its totient is φ = 167460889536.

The previous prime is 251205041119. The next prime is 251205041149. The reversal of 251205041133 is 331140502152.

251205041133 is a `hidden beast` number, since 2 + 5 + 1 + 20 + 504 + 1 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61180538409 + 190024502724 = 247347^2 + 435918^2 .

It is not a de Polignac number, because 251205041133 - 2¹³ = 251205032941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251205041097 and 251205041106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251205041173) 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, 585238 + ... + 919191.

Almost surely, 2^251205041133 is an apocalyptic number.

It is an amenable number.

251205041133 is a deficient number, since it is larger than the sum of its proper divisors (111666483727).

251205041133 is a wasteful number, since it uses less digits than its factorization.

251205041133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522988 (or 1522985 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 251205041133 its reverse (331140502152), we get a palindrome (582345543285).

The spelling of 251205041133 in words is "two hundred fifty-one billion, two hundred five million, forty-one thousand, one hundred thirty-three".