355252505252553 has 8 divisors (see below), whose sum is σ = 526300007781600. Its totient is φ = 236835003501684.

The previous prime is 355252505252539. The next prime is 355252505252611.

355252505252553 is a `hidden beast` number, since 3 + 5 + 5 + 25 + 25 + 0 + 525 + 25 + 53 = 666.

355252505252553 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 355252505252553 - 2²⁴ = 355252488475337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 355252505252553.

It is not an unprimeable number, because it can be changed into a prime (355252505252653) 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, 6578750097243 + ... + 6578750097296.

It is an arithmetic number, because the mean of its divisors is an integer number (65787500972700).

Almost surely, 2^{355252505252553} is an apocalyptic number.

It is an amenable number.

355252505252553 is a deficient number, since it is larger than the sum of its proper divisors (171047502529047).

355252505252553 is a wasteful number, since it uses less digits than its factorization.

355252505252553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13157500194548 (or 13157500194542 counting only the distinct ones).

The product of its (nonzero) digits is 56250000, while the sum is 54.

The spelling of 355252505252553 in words is "three hundred fifty-five trillion, two hundred fifty-two billion, five hundred five million, two hundred fifty-two thousand, five hundred fifty-three".