513417042 has 40 divisors (see below), whose sum is σ = 1172160396. Its totient is φ = 167907168.

The previous prime is 513417019. The next prime is 513417043. The reversal of 513417042 is 240714315.

513417042 is a `hidden beast` number, since 513 + 41 + 70 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 490578201 + 22838841 = 22149^2 + 4779^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 513416997 and 513417015.

It is not an unprimeable number, because it can be changed into a prime (513417043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21313 + ... + 38484.

Almost surely, 2^513417042 is an apocalyptic number.

513417042 is an abundant number, since it is smaller than the sum of its proper divisors (658743354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513417042 is a wasteful number, since it uses less digits than its factorization.

513417042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59864 (or 59855 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 513417042 is about 22658.7078625415. The cubic root of 513417042 is about 800.7373628695.

The spelling of 513417042 in words is "five hundred thirteen million, four hundred seventeen thousand, forty-two".