513155034 has 128 divisors (see below), whose sum is σ = 1349314560. Its totient is φ = 141523200.

The previous prime is 513155017. The next prime is 513155039. The reversal of 513155034 is 430551315.

513155034 is a `hidden beast` number, since 51 + 31 + 550 + 34 = 666.

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 = 513154989 and 513155007.

It is not an unprimeable number, because it can be changed into a prime (513155039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2129154 + ... + 2129394.

It is an arithmetic number, because the mean of its divisors is an integer number (10541520).

Almost surely, 2^513155034 is an apocalyptic number.

513155034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513155034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674657280).

513155034 is an abundant number, since it is smaller than the sum of its proper divisors (836159526).

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

513155034 is a wasteful number, since it uses less digits than its factorization.

513155034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 513155034 is about 22652.9255064329. The cubic root of 513155034 is about 800.6011284010.

The spelling of 513155034 in words is "five hundred thirteen million, one hundred fifty-five thousand, thirty-four".