253321343123352 has 160 divisors (see below), whose sum is σ = 756829718452080. Its totient is φ = 70612220421120.

The previous prime is 253321343123347. The next prime is 253321343123353.

253321343123352 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253321343123353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51248493 + ... + 55973660.

Almost surely, 2^{253321343123352} is an apocalyptic number.

It is an amenable number.

253321343123352 is an abundant number, since it is smaller than the sum of its proper divisors (503508375328728).

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

253321343123352 is a wasteful number, since it uses less digits than its factorization.

253321343123352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107222231 (or 107222206 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

The spelling of 253321343123352 in words is "two hundred fifty-three trillion, three hundred twenty-one billion, three hundred forty-three million, one hundred twenty-three thousand, three hundred fifty-two".