1252155040 has 96 divisors (see below), whose sum is σ = 3072278160. Its totient is φ = 481689600.

The previous prime is 1252155017. The next prime is 1252155041. The reversal of 1252155040 is 405512521.

It can be written as a sum of positive squares in 8 ways, for example, as 402082704 + 850072336 = 20052^2 + 29156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1252154996 and 1252155014.

It is not an unprimeable number, because it can be changed into a prime (1252155041) 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, 1953120 + ... + 1953760.

Almost surely, 2^1252155040 is an apocalyptic number.

1252155040 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 1252155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536139080).

1252155040 is an abundant number, since it is smaller than the sum of its proper divisors (1820123120).

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

1252155040 is a wasteful number, since it uses less digits than its factorization.

1252155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 1252155040 is about 35385.8028028191. The cubic root of 1252155040 is about 1077.8360419922.

Adding to 1252155040 its reverse (405512521), we get a palindrome (1657667561).

The spelling of 1252155040 in words is "one billion, two hundred fifty-two million, one hundred fifty-five thousand, forty".