253415413250320 has 20 divisors (see below), whose sum is σ = 589190835807180. Its totient is φ = 101366165300096.

The previous prime is 253415413250267. The next prime is 253415413250323. The reversal of 253415413250320 is 23052314514352.

It can be written as a sum of positive squares in 2 ways, for example, as 199610782343424 + 53804630906896 = 14128368^2 + 7335164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×253415413250320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (253415413250323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583846332735 + ... + 1583846332894.

It is an arithmetic number, because the mean of its divisors is an integer number (29459541790359).

Almost surely, 2^{253415413250320} is an apocalyptic number.

253415413250320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253415413250320 is an abundant number, since it is smaller than the sum of its proper divisors (335775422556860).

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

253415413250320 is a wasteful number, since it uses less digits than its factorization.

253415413250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167692665642 (or 3167692665636 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 253415413250320 its reverse (23052314514352), we get a palindrome (276467727764672).

The spelling of 253415413250320 in words is "two hundred fifty-three trillion, four hundred fifteen billion, four hundred thirteen million, two hundred fifty thousand, three hundred twenty".