1251132540 has 192 divisors, whose sum is σ = 4102769664. Its totient is φ = 278986752.

The previous prime is 1251132521. The next prime is 1251132557. The reversal of 1251132540 is 452311521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1251132540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4868092 + ... + 4868348.

It is an arithmetic number, because the mean of its divisors is an integer number (21368592).

Almost surely, 2^1251132540 is an apocalyptic number.

1251132540 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 1251132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051384832).

1251132540 is an abundant number, since it is smaller than the sum of its proper divisors (2851637124).

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

1251132540 is a wasteful number, since it uses less digits than its factorization.

1251132540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

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

The square root of 1251132540 is about 35371.3519673761. The cubic root of 1251132540 is about 1077.5425779404.

The spelling of 1251132540 in words is "one billion, two hundred fifty-one million, one hundred thirty-two thousand, five hundred forty".