253261163232 has 432 divisors, whose sum is σ = 916424636400. Its totient is φ = 65604833280.

The previous prime is 253261163231. The next prime is 253261163237. The reversal of 253261163232 is 232361162352.

253261163232 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 6 + 11 + 632 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253261163231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63487894 + ... + 63491882.

It is an arithmetic number, because the mean of its divisors is an integer number (2121353325).

Almost surely, 2^253261163232 is an apocalyptic number.

253261163232 is a gapful number since it is divisible by the number (22) 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 253261163232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458212318200).

253261163232 is an abundant number, since it is smaller than the sum of its proper divisors (663163473168).

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

253261163232 is a wasteful number, since it uses less digits than its factorization.

253261163232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4421 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 253261163232 in words is "two hundred fifty-three billion, two hundred sixty-one million, one hundred sixty-three thousand, two hundred thirty-two".