252770583552 has 352 divisors, whose sum is σ = 753700552704. Its totient is φ = 74937139200.

The previous prime is 252770583539. The next prime is 252770583553. The reversal of 252770583552 is 255385077252.

It is a super-2 number, since 2×252770583552² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 252770583495 and 252770583504.

It is not an unprimeable number, because it can be changed into a prime (252770583553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69612777 + ... + 69616407.

It is an arithmetic number, because the mean of its divisors is an integer number (2141194752).

Almost surely, 2^252770583552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252770583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376850276352).

252770583552 is an abundant number, since it is smaller than the sum of its proper divisors (500929969152).

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

252770583552 is a wasteful number, since it uses less digits than its factorization.

252770583552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 5880000, while the sum is 51.

The spelling of 252770583552 in words is "two hundred fifty-two billion, seven hundred seventy million, five hundred eighty-three thousand, five hundred fifty-two".