1265105632 has 48 divisors (see below), whose sum is σ = 2861036640. Its totient is φ = 539417088.

The previous prime is 1265105617. The next prime is 1265105651. The reversal of 1265105632 is 2365015621.

It is a junction number, because it is equal to n+sod(n) for n = 1265105594 and 1265105603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29794 + ... + 58462.

It is an arithmetic number, because the mean of its divisors is an integer number (59604930).

Almost surely, 2^1265105632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1265105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430518320).

1265105632 is an abundant number, since it is smaller than the sum of its proper divisors (1595931008).

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

1265105632 is a wasteful number, since it uses less digits than its factorization.

1265105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28883 (or 28875 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1265105632 is about 35568.3234353266. The cubic root of 1265105632 is about 1081.5391953581.

The spelling of 1265105632 in words is "one billion, two hundred sixty-five million, one hundred five thousand, six hundred thirty-two".