352362263253 has 96 divisors (see below), whose sum is σ = 642510836352. Its totient is φ = 168848064000.

The previous prime is 352362263249. The next prime is 352362263273.

352362263253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352362263253 - 2² = 352362263249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352362263203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35583603 + ... + 35593503.

It is an arithmetic number, because the mean of its divisors is an integer number (6692821212).

Almost surely, 2^352362263253 is an apocalyptic number.

352362263253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352362263253 is a deficient number, since it is larger than the sum of its proper divisors (290148573099).

352362263253 is a wasteful number, since it uses less digits than its factorization.

352362263253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11628 counting only the distinct ones).

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

The spelling of 352362263253 in words is "three hundred fifty-two billion, three hundred sixty-two million, two hundred sixty-three thousand, two hundred fifty-three".