352566484665253 has 32 divisors (see below), whose sum is σ = 386734498133760. Its totient is φ = 319923685186560.

The previous prime is 352566484665233. The next prime is 352566484665313.

352566484665253 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 352566484665253 - 2⁹ = 352566484664741 is a prime.

It is a super-2 number, since 2×352566484665253² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352566484665223) 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, 1985832075 + ... + 1986009607.

It is an arithmetic number, because the mean of its divisors is an integer number (12085453066680).

Almost surely, 2^{352566484665253} is an apocalyptic number.

It is an amenable number.

352566484665253 is a deficient number, since it is larger than the sum of its proper divisors (34168013468507).

352566484665253 is a wasteful number, since it uses less digits than its factorization.

352566484665253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183357.

The product of its digits is 3732480000, while the sum is 70.

The spelling of 352566484665253 in words is "three hundred fifty-two trillion, five hundred sixty-six billion, four hundred eighty-four million, six hundred sixty-five thousand, two hundred fifty-three".