1251442752 has 168 divisors, whose sum is σ = 4054998240. Its totient is φ = 338688000.

The previous prime is 1251442747. The next prime is 1251442781. The reversal of 1251442752 is 2572441521.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1251442752² = 3132217923066667008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175252 + ... + 182252.

Almost surely, 2^1251442752 is an apocalyptic number.

1251442752 is a gapful number since it is divisible by the number (12) 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 1251442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027499120).

1251442752 is an abundant number, since it is smaller than the sum of its proper divisors (2803555488).

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

1251442752 is a wasteful number, since it uses less digits than its factorization.

1251442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7032 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 1251442752 is about 35375.7367697127. The cubic root of 1251442752 is about 1077.6316276626.

The spelling of 1251442752 in words is "one billion, two hundred fifty-one million, four hundred forty-two thousand, seven hundred fifty-two".