253270072650 has 384 divisors, whose sum is σ = 748832071680. Its totient is φ = 55457187840.

The previous prime is 253270072631. The next prime is 253270072651. The reversal of 253270072650 is 56270072352.

253270072650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×253270072650³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253270072599 and 253270072608.

It is not an unprimeable number, because it can be changed into a prime (253270072651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 824983797 + ... + 824984103.

It is an arithmetic number, because the mean of its divisors is an integer number (1950083520).

Almost surely, 2^253270072650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253270072650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374416035840).

253270072650 is an abundant number, since it is smaller than the sum of its proper divisors (495561999030).

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

253270072650 is a wasteful number, since it uses less digits than its factorization.

253270072650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 253270072650 in words is "two hundred fifty-three billion, two hundred seventy million, seventy-two thousand, six hundred fifty".