416525013 has 24 divisors (see below), whose sum is σ = 607134528. Its totient is φ = 275164992.

The previous prime is 416524957. The next prime is 416525017. The reversal of 416525013 is 310525614.

416525013 is a `hidden beast` number, since 4 + 1 + 652 + 5 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 416525013 - 2¹² = 416520917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416525017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643456 + ... + 644102.

It is an arithmetic number, because the mean of its divisors is an integer number (25297272).

Almost surely, 2^416525013 is an apocalyptic number.

It is an amenable number.

416525013 is a deficient number, since it is larger than the sum of its proper divisors (190609515).

416525013 is a wasteful number, since it uses less digits than its factorization.

416525013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 416525013 is about 20408.9444362025. The cubic root of 416525013 is about 746.8161405107.

It can be divided in two parts, 41652 and 5013, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 416525013 in words is "four hundred sixteen million, five hundred twenty-five thousand, thirteen".