252542521440 has 192 divisors, whose sum is σ = 964253445120. Its totient is φ = 61222417920.

The previous prime is 252542521411. The next prime is 252542521471. The reversal of 252542521440 is 44125245252.

252542521440 is a `hidden beast` number, since 2 + 52 + 5 + 42 + 521 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252542521395 and 252542521404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609704 + ... + 2704743.

It is an arithmetic number, because the mean of its divisors is an integer number (5022153360).

Almost surely, 2^252542521440 is an apocalyptic number.

252542521440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252542521440 is an abundant number, since it is smaller than the sum of its proper divisors (711710923680).

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

252542521440 is a wasteful number, since it uses less digits than its factorization.

252542521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314482 (or 5314468 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 252542521440 its reverse (44125245252), we get a palindrome (296667766692).

The spelling of 252542521440 in words is "two hundred fifty-two billion, five hundred forty-two million, five hundred twenty-one thousand, four hundred forty".