1252131540 has 192 divisors, whose sum is σ = 4157153280. Its totient is φ = 278208000.

The previous prime is 1252131539. The next prime is 1252131557. The reversal of 1252131540 is 451312521.

It is a happy number.

1252131540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1252131540.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 387130 + ... + 390350.

It is an arithmetic number, because the mean of its divisors is an integer number (21651840).

Almost surely, 2^1252131540 is an apocalyptic number.

1252131540 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 1252131540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078576640).

1252131540 is an abundant number, since it is smaller than the sum of its proper divisors (2905021740).

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

1252131540 is a wasteful number, since it uses less digits than its factorization.

1252131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1252131540 is about 35385.4707471866. The cubic root of 1252131540 is about 1077.8292991356.

The spelling of 1252131540 in words is "one billion, two hundred fifty-two million, one hundred thirty-one thousand, five hundred forty".