252709133040 has 1120 divisors, whose sum is σ = 1148396247936. Its totient is φ = 50164531200.

The previous prime is 252709133003. The next prime is 252709133041. The reversal of 252709133040 is 40331907252.

252709133040 is a `hidden beast` number, since 2 + 527 + 0 + 91 + 3 + 3 + 0 + 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 = 252709132986 and 252709133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252709133041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 90219640 + ... + 90222440.

Almost surely, 2^252709133040 is an apocalyptic number.

252709133040 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 252709133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574198123968).

252709133040 is an abundant number, since it is smaller than the sum of its proper divisors (895687114896).

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

252709133040 is a wasteful number, since it uses less digits than its factorization.

252709133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 252709133040 in words is "two hundred fifty-two billion, seven hundred nine million, one hundred thirty-three thousand, forty".