251121252341 has 12 divisors (see below), whose sum is σ = 275960722020. Its totient is φ = 228199426560.

The previous prime is 251121252311. The next prime is 251121252373. The reversal of 251121252341 is 143252121152.

It can be written as a sum of positive squares in 6 ways, for example, as 41088100 + 251080164241 = 6410^2 + 501079^2 .

It is not a de Polignac number, because 251121252341 - 2¹⁰ = 251121251317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251121252311) 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, 14973200 + ... + 14989961.

It is an arithmetic number, because the mean of its divisors is an integer number (22996726835).

Almost surely, 2^251121252341 is an apocalyptic number.

It is an amenable number.

251121252341 is a deficient number, since it is larger than the sum of its proper divisors (24839469679).

251121252341 is a wasteful number, since it uses less digits than its factorization.

251121252341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29963224 (or 29963207 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

Adding to 251121252341 its reverse (143252121152), we get a palindrome (394373373493).

The spelling of 251121252341 in words is "two hundred fifty-one billion, one hundred twenty-one million, two hundred fifty-two thousand, three hundred forty-one".