513827034 has 64 divisors (see below), whose sum is σ = 1218374400. Its totient is φ = 144365760.

The previous prime is 513827009. The next prime is 513827059. The reversal of 513827034 is 430728315.

It is an interprime number because it is at equal distance from previous prime (513827009) and next prime (513827059).

It is a junction number, because it is equal to n+sod(n) for n = 513826986 and 513827004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123492 + ... + 127584.

It is an arithmetic number, because the mean of its divisors is an integer number (19037100).

Almost surely, 2^513827034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513827034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609187200).

513827034 is an abundant number, since it is smaller than the sum of its proper divisors (704547366).

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

513827034 is a wasteful number, since it uses less digits than its factorization.

513827034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 513827034 is about 22667.7531749399. The cubic root of 513827034 is about 800.9504505658.

The spelling of 513827034 in words is "five hundred thirteen million, eight hundred twenty-seven thousand, thirty-four".