1261525752 has 112 divisors (see below), whose sum is σ = 3669201000. Its totient is φ = 405953856.

The previous prime is 1261525751. The next prime is 1261525757. The reversal of 1261525752 is 2575251621.

1261525752 is a `hidden beast` number, since 1 + 2 + 61 + 525 + 75 + 2 = 666.

1261525752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261525751) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 165399 + ... + 172857.

Almost surely, 2^1261525752 is an apocalyptic number.

1261525752 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 1261525752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834600500).

1261525752 is an abundant number, since it is smaller than the sum of its proper divisors (2407675248).

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

1261525752 is an equidigital number, since it uses as much as digits as its factorization.

1261525752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7493 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 1261525752 is about 35517.9637929879. The cubic root of 1261525752 is about 1080.5180847641.

The spelling of 1261525752 in words is "one billion, two hundred sixty-one million, five hundred twenty-five thousand, seven hundred fifty-two".