251605631634241 has 16 divisors (see below), whose sum is σ = 253274103336960. Its totient is φ = 249942671591760.

The previous prime is 251605631634229. The next prime is 251605631634391. The reversal of 251605631634241 is 142436136506152.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 251605631634241 - 2²³ = 251605623245633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251605631134241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421118680 + ... + 2421222598.

It is an arithmetic number, because the mean of its divisors is an integer number (15829631458560).

Almost surely, 2^{251605631634241} is an apocalyptic number.

It is an amenable number.

251605631634241 is a deficient number, since it is larger than the sum of its proper divisors (1668471702719).

251605631634241 is a wasteful number, since it uses less digits than its factorization.

251605631634241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130284.

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 251605631634241 in words is "two hundred fifty-one trillion, six hundred five billion, six hundred thirty-one million, six hundred thirty-four thousand, two hundred forty-one".