1251175040 has 64 divisors (see below), whose sum is σ = 2996352000. Its totient is φ = 499590144.

The previous prime is 1251175039. The next prime is 1251175067. The reversal of 1251175040 is 405711521.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458801 + ... + 461519.

It is an arithmetic number, because the mean of its divisors is an integer number (46818000).

Almost surely, 2^1251175040 is an apocalyptic number.

1251175040 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 1251175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

1251175040 is an abundant number, since it is smaller than the sum of its proper divisors (1745176960).

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

1251175040 is an equidigital number, since it uses as much as digits as its factorization.

1251175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 1251175040 is about 35371.9527309421. The cubic root of 1251175040 is about 1077.5547788969.

Adding to 1251175040 its reverse (405711521), we get a palindrome (1656886561).

The spelling of 1251175040 in words is "one billion, two hundred fifty-one million, one hundred seventy-five thousand, forty".