253455554352 has 480 divisors, whose sum is σ = 935985093120. Its totient is φ = 57191546880.

The previous prime is 253455554281. The next prime is 253455554357.

It is a happy number.

253455554352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253455554352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (253455554357) 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, 10606674 + ... + 10630542.

It is an arithmetic number, because the mean of its divisors is an integer number (1949968944).

Almost surely, 2^253455554352 is an apocalyptic number.

253455554352 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 253455554352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467992546560).

253455554352 is an abundant number, since it is smaller than the sum of its proper divisors (682529538768).

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

253455554352 is a wasteful number, since it uses less digits than its factorization.

253455554352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23941 (or 23922 counting only the distinct ones).

The product of its digits is 9000000, while the sum is 48.

The spelling of 253455554352 in words is "two hundred fifty-three billion, four hundred fifty-five million, five hundred fifty-four thousand, three hundred fifty-two".