252775997656 has 128 divisors (see below), whose sum is σ = 588470400000. Its totient is φ = 99121853952.

The previous prime is 252775997653. The next prime is 252775997723. The reversal of 252775997656 is 656799577252.

It is a happy number.

It is a super-2 number, since 2×252775997656² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252775997651) 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, 40126395 + ... + 40132693.

It is an arithmetic number, because the mean of its divisors is an integer number (4597425000).

Almost surely, 2^252775997656 is an apocalyptic number.

252775997656 is a gapful number since it is divisible by the number (26) 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 252775997656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294235200000).

252775997656 is an abundant number, since it is smaller than the sum of its proper divisors (335694402344).

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

252775997656 is a wasteful number, since it uses less digits than its factorization.

252775997656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6797 counting only the distinct ones).

The product of its digits is 500094000, while the sum is 70.

The spelling of 252775997656 in words is "two hundred fifty-two billion, seven hundred seventy-five million, nine hundred ninety-seven thousand, six hundred fifty-six".