1265106500 has 72 divisors (see below), whose sum is σ = 3214155672. Its totient is φ = 433742400.

The previous prime is 1265106443. The next prime is 1265106517. The reversal of 1265106500 is 56015621.

It can be written as a sum of positive squares in 4 ways, for example, as 114404416 + 1150702084 = 10696^2 + 33922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1265106500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319 + ... + 50318.

It is an arithmetic number, because the mean of its divisors is an integer number (44641051).

Almost surely, 2^1265106500 is an apocalyptic number.

1265106500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1265106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607077836).

1265106500 is an abundant number, since it is smaller than the sum of its proper divisors (1949049172).

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

1265106500 is a wasteful number, since it uses less digits than its factorization.

1265106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51670 (or 51651 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 1265106500 is about 35568.3356371928. The cubic root of 1265106500 is about 1081.5394427092.

The spelling of 1265106500 in words is "one billion, two hundred sixty-five million, one hundred six thousand, five hundred".