252611572640 has 96 divisors (see below), whose sum is σ = 682722359424. Its totient is φ = 86524462080.

The previous prime is 252611572639. The next prime is 252611572657. The reversal of 252611572640 is 46275116252.

252611572640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252611572640³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033067 + ... + 1253973.

It is an arithmetic number, because the mean of its divisors is an integer number (7111691244).

Almost surely, 2^252611572640 is an apocalyptic number.

252611572640 is a gapful number since it is divisible by the number (20) 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 252611572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341361179712).

252611572640 is an abundant number, since it is smaller than the sum of its proper divisors (430110786784).

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

252611572640 is a wasteful number, since it uses less digits than its factorization.

252611572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221950 (or 221942 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

Adding to 252611572640 its reverse (46275116252), we get a palindrome (298886688892).

The spelling of 252611572640 in words is "two hundred fifty-two billion, six hundred eleven million, five hundred seventy-two thousand, six hundred forty".