521506461 has 16 divisors (see below), whose sum is σ = 810896000. Its totient is φ = 298003104.

The previous prime is 521506441. The next prime is 521506483. The reversal of 521506461 is 164605125.

It is not a de Polignac number, because 521506461 - 2¹⁹ = 520982173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521506411) 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 15 ways as a sum of consecutive naturals, for example, 252376 + ... + 254433.

It is an arithmetic number, because the mean of its divisors is an integer number (50681000).

Almost surely, 2^521506461 is an apocalyptic number.

It is an amenable number.

521506461 is a deficient number, since it is larger than the sum of its proper divisors (289389539).

521506461 is an equidigital number, since it uses as much as digits as its factorization.

521506461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506833 (or 506819 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 521506461 is about 22836.5159558108. The cubic root of 521506461 is about 804.9209500196.

It can be divided in two parts, 5215064 and 61, that added together give a palindrome (5215125).

The spelling of 521506461 in words is "five hundred twenty-one million, five hundred six thousand, four hundred sixty-one".