252128511376 has 135 divisors (see below), whose sum is σ = 578084646699. Its totient is φ = 106217302464.

The previous prime is 252128511359. The next prime is 252128511403. The reversal of 252128511376 is 673115821252.

The square root of 252128511376 is 502124.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×252128511376² (a number of 24 digits) contains 22 as substring.

Its product of digits (201600) is a multiple of the sum of its prime divisors (315).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1110698175 + ... + 1110698401.

Almost surely, 2^252128511376 is an apocalyptic number.

252128511376 is the 502124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252128511376

252128511376 is an abundant number, since it is smaller than the sum of its proper divisors (325956135323).

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

252128511376 is an frugal number, since it uses more digits than its factorization.

252128511376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 315 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The spelling of 252128511376 in words is "two hundred fifty-two billion, one hundred twenty-eight million, five hundred eleven thousand, three hundred seventy-six".