1252152640 has 56 divisors (see below), whose sum is σ = 2999670912. Its totient is φ = 497840640.

The previous prime is 1252152617. The next prime is 1252152667. The reversal of 1252152640 is 462512521.

It is a junction number, because it is equal to n+sod(n) for n = 1252152599 and 1252152608.

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 7 ways as a sum of consecutive naturals, for example, 41725 + ... + 65155.

It is an arithmetic number, because the mean of its divisors is an integer number (53565552).

Almost surely, 2^1252152640 is an apocalyptic number.

1252152640 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 1252152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499835456).

1252152640 is an abundant number, since it is smaller than the sum of its proper divisors (1747518272).

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

1252152640 is a wasteful number, since it uses less digits than its factorization.

1252152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23615 (or 23605 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1252152640 is about 35385.7688908974. The cubic root of 1252152640 is about 1077.8353533639.

The spelling of 1252152640 in words is "one billion, two hundred fifty-two million, one hundred fifty-two thousand, six hundred forty".