515150064 has 320 divisors, whose sum is σ = 1799884800. Its totient is φ = 138931200.

The previous prime is 515150057. The next prime is 515150087. The reversal of 515150064 is 460051515.

It is a happy number.

515150064 is a `hidden beast` number, since 5 + 151 + 500 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1914922 + ... + 1915190.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^515150064 is an apocalyptic number.

515150064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

515150064 is an abundant number, since it is smaller than the sum of its proper divisors (1284734736).

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

515150064 is a wasteful number, since it uses less digits than its factorization.

515150064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 515150064 is about 22696.9174999602. The cubic root of 515150064 is about 801.6373050873.

The spelling of 515150064 in words is "five hundred fifteen million, one hundred fifty thousand, sixty-four".