253305260416 has 64 divisors (see below), whose sum is σ = 567077706720. Its totient is φ = 111827054592.

The previous prime is 253305260413. The next prime is 253305260479. The reversal of 253305260416 is 614062503352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253305260413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3271005 + ... + 3347548.

Almost surely, 2^253305260416 is an apocalyptic number.

253305260416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

253305260416 is an abundant number, since it is smaller than the sum of its proper divisors (313772446304).

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

253305260416 is a wasteful number, since it uses less digits than its factorization.

253305260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618603 (or 6618591 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 253305260416 its reverse (614062503352), we get a palindrome (867367763768).

The spelling of 253305260416 in words is "two hundred fifty-three billion, three hundred five million, two hundred sixty thousand, four hundred sixteen".