352263362253 has 32 divisors (see below), whose sum is σ = 514938554880. Its totient is φ = 212430288960.

The previous prime is 352263362203. The next prime is 352263362263.

352263362253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352263362253 - 2²⁴ = 352246585037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352263362203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6729126 + ... + 6781272.

It is an arithmetic number, because the mean of its divisors is an integer number (16091829840).

Almost surely, 2^352263362253 is an apocalyptic number.

352263362253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352263362253 is a deficient number, since it is larger than the sum of its proper divisors (162675192627).

352263362253 is a wasteful number, since it uses less digits than its factorization.

352263362253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53177.

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

The spelling of 352263362253 in words is "three hundred fifty-two billion, two hundred sixty-three million, three hundred sixty-two thousand, two hundred fifty-three".