521117127 has 12 divisors (see below), whose sum is σ = 753795640. Its totient is φ = 346917168.

The previous prime is 521117117. The next prime is 521117131. The reversal of 521117127 is 721711125.

521117127 is a `hidden beast` number, since 521 + 1 + 17 + 127 = 666.

It is not a de Polignac number, because 521117127 - 2⁴ = 521117111 is a prime.

It is a super-3 number, since 3×521117127³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 521117127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521117117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34453 + ... + 47214.

Almost surely, 2^521117127 is an apocalyptic number.

521117127 is a deficient number, since it is larger than the sum of its proper divisors (232678513).

521117127 is a wasteful number, since it uses less digits than its factorization.

521117127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82382 (or 82379 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 521117127 is about 22827.9899903605. The cubic root of 521117127 is about 804.7205938496.

The spelling of 521117127 in words is "five hundred twenty-one million, one hundred seventeen thousand, one hundred twenty-seven".