253922550 has 192 divisors, whose sum is σ = 771379200. Its totient is φ = 54028800.

The previous prime is 253922497. The next prime is 253922551. The reversal of 253922550 is 55229352.

It is a super-3 number, since 3×253922550³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253922551) 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, 943816 + ... + 944084.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^253922550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253922550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

253922550 is an abundant number, since it is smaller than the sum of its proper divisors (517456650).

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

253922550 is a wasteful number, since it uses less digits than its factorization.

253922550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 253922550 is about 15934.9474426494. The cubic root of 253922550 is about 633.2381774552.

The spelling of 253922550 in words is "two hundred fifty-three million, nine hundred twenty-two thousand, five hundred fifty".