1265116541 has 32 divisors (see below), whose sum is σ = 1503774720. Its totient is φ = 1054310400.

The previous prime is 1265116511. The next prime is 1265116547. The reversal of 1265116541 is 1456115621.

It is not a de Polignac number, because 1265116541 - 2¹⁴ = 1265100157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1265116498 and 1265116507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265116547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378365 + ... + 381693.

It is an arithmetic number, because the mean of its divisors is an integer number (46992960).

Almost surely, 2^1265116541 is an apocalyptic number.

It is an amenable number.

1265116541 is a deficient number, since it is larger than the sum of its proper divisors (238658179).

1265116541 is a wasteful number, since it uses less digits than its factorization.

1265116541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437.

The product of its digits is 7200, while the sum is 32.

The square root of 1265116541 is about 35568.4767877400. The cubic root of 1265116541 is about 1081.5423040516.

It can be divided in two parts, 12651 and 16541, that added together give a palindrome (29192).

The spelling of 1265116541 in words is "one billion, two hundred sixty-five million, one hundred sixteen thousand, five hundred forty-one".