1252627540 has 48 divisors (see below), whose sum is σ = 2724632064. Its totient is φ = 483235200.

The previous prime is 1252627529. The next prime is 1252627547. The reversal of 1252627540 is 457262521.

It is a junction number, because it is equal to n+sod(n) for n = 1252627496 and 1252627505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252627547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187050 + ... + 193630.

It is an arithmetic number, because the mean of its divisors is an integer number (56763168).

Almost surely, 2^1252627540 is an apocalyptic number.

1252627540 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 1252627540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362316032).

1252627540 is an abundant number, since it is smaller than the sum of its proper divisors (1472004524).

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

1252627540 is a wasteful number, since it uses less digits than its factorization.

1252627540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 1252627540 is about 35392.4785794948. The cubic root of 1252627540 is about 1077.9715985509.

The spelling of 1252627540 in words is "one billion, two hundred fifty-two million, six hundred twenty-seven thousand, five hundred forty".