1052251032240 has 480 divisors, whose sum is σ = 3741069556224. Its totient is φ = 264514314240.

The previous prime is 1052251032221. The next prime is 1052251032247. The reversal of 1052251032240 is 422301522501.

1052251032240 is a `hidden beast` number, since 1 + 0 + 52 + 251 + 0 + 322 + 40 = 666.

It is a super-2 number, since 2×1052251032240² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052251032247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 815065995 + ... + 815067285.

Almost surely, 2^{1052251032240} is an apocalyptic number.

1052251032240 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 1052251032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870534778112).

1052251032240 is an abundant number, since it is smaller than the sum of its proper divisors (2688818523984).

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

1052251032240 is a wasteful number, since it uses less digits than its factorization.

1052251032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1052251032240 its reverse (422301522501), we get a palindrome (1474552554741).

The spelling of 1052251032240 in words is "one trillion, fifty-two billion, two hundred fifty-one million, thirty-two thousand, two hundred forty".