1265135540 has 48 divisors (see below), whose sum is σ = 2703238272. Its totient is φ = 497245056.

The previous prime is 1265135491. The next prime is 1265135567. The reversal of 1265135540 is 455315621.

It is a junction number, because it is equal to n+sod(n) for n = 1265135497 and 1265135506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673082 + ... + 674958.

It is an arithmetic number, because the mean of its divisors is an integer number (56317464).

Almost surely, 2^1265135540 is an apocalyptic number.

1265135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1265135540 is an abundant number, since it is smaller than the sum of its proper divisors (1438102732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1265135540 is a wasteful number, since it uses less digits than its factorization.

1265135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 1265135540 is about 35568.7438631167. The cubic root of 1265135540 is about 1081.5477180771.

The spelling of 1265135540 in words is "one billion, two hundred sixty-five million, one hundred thirty-five thousand, five hundred forty".