1251145532 has 144 divisors (see below), whose sum is σ = 2916006912. Its totient is φ = 458265600.

The previous prime is 1251145529. The next prime is 1251145537. The reversal of 1251145532 is 2355411521.

It is a junction number, because it is equal to n+sod(n) for n = 1251145495 and 1251145504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251145537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8285657 + ... + 8285807.

It is an arithmetic number, because the mean of its divisors is an integer number (20250048).

Almost surely, 2^1251145532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251145532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458003456).

1251145532 is an abundant number, since it is smaller than the sum of its proper divisors (1664861380).

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

1251145532 is a wasteful number, since it uses less digits than its factorization.

1251145532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its digits is 6000, while the sum is 29.

The square root of 1251145532 is about 35371.5356183471. The cubic root of 1251145532 is about 1077.5463077304.

The spelling of 1251145532 in words is "one billion, two hundred fifty-one million, one hundred forty-five thousand, five hundred thirty-two".