1252554120 has 96 divisors (see below), whose sum is σ = 4087975320. Its totient is φ = 332605440.

The previous prime is 1252554071. The next prime is 1252554139. The reversal of 1252554120 is 214552521.

1252554120 is a `hidden beast` number, since 12 + 525 + 5 + 4 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1119705444 + 132848676 = 33462^2 + 11526^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79542 + ... + 93978.

Almost surely, 2^1252554120 is an apocalyptic number.

1252554120 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 1252554120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043987660).

1252554120 is an abundant number, since it is smaller than the sum of its proper divisors (2835421200).

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

1252554120 is a wasteful number, since it uses less digits than its factorization.

1252554120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14695 (or 14688 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1252554120 is about 35391.4413382671. The cubic root of 1252554120 is about 1077.9505371637.

The spelling of 1252554120 in words is "one billion, two hundred fifty-two million, five hundred fifty-four thousand, one hundred twenty".