506416525 has 24 divisors (see below), whose sum is σ = 639432288. Its totient is φ = 397800000.

The previous prime is 506416513. The next prime is 506416541. The reversal of 506416525 is 525614605.

It is not a de Polignac number, because 506416525 - 2⁷ = 506416397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 330010 + ... + 331540.

It is an arithmetic number, because the mean of its divisors is an integer number (26643012).

Almost surely, 2^506416525 is an apocalyptic number.

It is an amenable number.

506416525 is a deficient number, since it is larger than the sum of its proper divisors (133015763).

506416525 is a wasteful number, since it uses less digits than its factorization.

506416525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 506416525 is about 22503.7002512920. The cubic root of 506416525 is about 797.0813045753.

The spelling of 506416525 in words is "five hundred six million, four hundred sixteen thousand, five hundred twenty-five".