251220312413541 has 6 divisors (see below), whose sum is σ = 362873784597350. Its totient is φ = 167480208275688.

The previous prime is 251220312413491. The next prime is 251220312413557. The reversal of 251220312413541 is 145314213022152.

251220312413541 is a `hidden beast` number, since 2 + 5 + 1 + 220 + 3 + 12 + 413 + 5 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213105370300641 + 38114942112900 = 14598129^2 + 6173730^2 .

It is not a de Polignac number, because 251220312413541 - 2¹⁷ = 251220312282469 is a prime.

It is a super-2 number, since 2×251220312413541² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 251220312413496 and 251220312413505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251220312413341) 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, 13956684022966 + ... + 13956684022983.

Almost surely, 2^{251220312413541} is an apocalyptic number.

It is an amenable number.

251220312413541 is a deficient number, since it is larger than the sum of its proper divisors (111653472183809).

251220312413541 is a wasteful number, since it uses less digits than its factorization.

251220312413541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27913368045955 (or 27913368045952 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 251220312413541 its reverse (145314213022152), we get a palindrome (396534525435693).

The spelling of 251220312413541 in words is "two hundred fifty-one trillion, two hundred twenty billion, three hundred twelve million, four hundred thirteen thousand, five hundred forty-one".