252541454142241 has 6 divisors (see below), whose sum is σ = 277586887611026. Its totient is φ = 229583140129200.

The previous prime is 252541454142199. The next prime is 252541454142319. The reversal of 252541454142241 is 142241454145252.

It can be written as a sum of positive squares in only one way, i.e., 246236980963600 + 6304473178641 = 15691940^2 + 2510871^2 .

It is not a de Polignac number, because 252541454142241 - 2²⁵ = 252541420587809 is a prime.

It is a super-2 number, since 2×252541454142241² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252541454142191 and 252541454142200.

It is not an unprimeable number, because it can be changed into a prime (252541454142841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1043559727740 + ... + 1043559727981.

Almost surely, 2^{252541454142241} is an apocalyptic number.

It is an amenable number.

252541454142241 is a deficient number, since it is larger than the sum of its proper divisors (25045433468785).

252541454142241 is a wasteful number, since it uses less digits than its factorization.

252541454142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087119455743 (or 2087119455732 counting only the distinct ones).

The product of its digits is 2048000, while the sum is 46.

The spelling of 252541454142241 in words is "two hundred fifty-two trillion, five hundred forty-one billion, four hundred fifty-four million, one hundred forty-two thousand, two hundred forty-one".