253415335141122 has 256 divisors, whose sum is σ = 698642596528128. Its totient is φ = 59215197127680.

The previous prime is 253415335141091. The next prime is 253415335141127. The reversal of 253415335141122 is 221141533514352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (253415335141127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257284593 + ... + 258267675.

It is an arithmetic number, because the mean of its divisors is an integer number (2729072642688).

Almost surely, 2^{253415335141122} is an apocalyptic number.

253415335141122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253415335141122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349321298264064).

253415335141122 is an abundant number, since it is smaller than the sum of its proper divisors (445227261387006).

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

253415335141122 is a wasteful number, since it uses less digits than its factorization.

253415335141122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984573.

The product of its digits is 432000, while the sum is 42.

Adding to 253415335141122 its reverse (221141533514352), we get a palindrome (474556868655474).

The spelling of 253415335141122 in words is "two hundred fifty-three trillion, four hundred fifteen billion, three hundred thirty-five million, one hundred forty-one thousand, one hundred twenty-two".