252066487576321 has 288 divisors, whose sum is σ = 319611596057600. Its totient is φ = 197725907174400.

The previous prime is 252066487576307. The next prime is 252066487576327. The reversal of 252066487576321 is 123675784660252.

It is not a de Polignac number, because 252066487576321 - 2¹⁷ = 252066487445249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252066487576327) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 634928180095 + ... + 634928180491.

Almost surely, 2^{252066487576321} is an apocalyptic number.

It is an amenable number.

252066487576321 is a deficient number, since it is larger than the sum of its proper divisors (67545108481279).

252066487576321 is a wasteful number, since it uses less digits than its factorization.

252066487576321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 64.

The spelling of 252066487576321 in words is "two hundred fifty-two trillion, sixty-six billion, four hundred eighty-seven million, five hundred seventy-six thousand, three hundred twenty-one".