252024056250640 has 40 divisors (see below), whose sum is σ = 585956760842520. Its totient is φ = 100809479694336.

The previous prime is 252024056250569. The next prime is 252024056250641. The reversal of 252024056250640 is 46052650420252.

It can be written as a sum of positive squares in 4 ways, for example, as 1952972710144 + 250071083540496 = 1397488^2 + 15813636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×252024056250640³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (252024056250641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68535322 + ... + 72118918.

It is an arithmetic number, because the mean of its divisors is an integer number (14648919021063).

Almost surely, 2^{252024056250640} is an apocalyptic number.

252024056250640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252024056250640 is an abundant number, since it is smaller than the sum of its proper divisors (333932704591880).

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

252024056250640 is a wasteful number, since it uses less digits than its factorization.

252024056250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462699 (or 4462693 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 252024056250640 in words is "two hundred fifty-two trillion, twenty-four billion, fifty-six million, two hundred fifty thousand, six hundred forty".