521253117 has 96 divisors (see below), whose sum is σ = 1013268480. Its totient is φ = 258746400.

The previous prime is 521253097. The next prime is 521253121. The reversal of 521253117 is 711352125.

521253117 is a `hidden beast` number, since 521 + 25 + 3 + 117 = 666.

It is not a de Polignac number, because 521253117 - 2²⁸ = 252817661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521257117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525492 + ... + 526482.

It is an arithmetic number, because the mean of its divisors is an integer number (10554880).

Almost surely, 2^521253117 is an apocalyptic number.

It is an amenable number.

521253117 is a deficient number, since it is larger than the sum of its proper divisors (492015363).

521253117 is a wasteful number, since it uses less digits than its factorization.

521253117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1035 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 521253117 is about 22830.9683763085. The cubic root of 521253117 is about 804.7905873501.

The spelling of 521253117 in words is "five hundred twenty-one million, two hundred fifty-three thousand, one hundred seventeen".