1260538752 has 128 divisors (see below), whose sum is σ = 3688156800. Its totient is φ = 378275840.

The previous prime is 1260538751. The next prime is 1260538753. The reversal of 1260538752 is 2578350621.

It is an interprime number because it is at equal distance from previous prime (1260538751) and next prime (1260538753).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1260538752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260538751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450574 + ... + 453362.

It is an arithmetic number, because the mean of its divisors is an integer number (28813725).

Almost surely, 2^1260538752 is an apocalyptic number.

1260538752 is a gapful number since it is divisible by the number (12) 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 1260538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844078400).

1260538752 is an abundant number, since it is smaller than the sum of its proper divisors (2427618048).

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

1260538752 is a wasteful number, since it uses less digits than its factorization.

1260538752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1260538752 is about 35504.0666966476. The cubic root of 1260538752 is about 1080.2362171924.

The spelling of 1260538752 in words is "one billion, two hundred sixty million, five hundred thirty-eight thousand, seven hundred fifty-two".