252066487576355 has 32 divisors (see below), whose sum is σ = 309613691616768. Its totient is φ = 196900279430400.

The previous prime is 252066487576349. The next prime is 252066487576367. The reversal of 252066487576355 is 553675784660252.

252066487576355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-252066487576355 is a prime.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12349531100 + ... + 12349551510.

It is an arithmetic number, because the mean of its divisors is an integer number (9675427863024).

Almost surely, 2^{252066487576355} is an apocalyptic number.

252066487576355 is a deficient number, since it is larger than the sum of its proper divisors (57547204040413).

252066487576355 is a wasteful number, since it uses less digits than its factorization.

252066487576355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36107.

The product of its (nonzero) digits is 2540160000, while the sum is 71.

The spelling of 252066487576355 in words is "two hundred fifty-two trillion, sixty-six billion, four hundred eighty-seven million, five hundred seventy-six thousand, three hundred fifty-five".