515172000 has 192 divisors, whose sum is σ = 1929118464. Its totient is φ = 117734400.

The previous prime is 515171983. The next prime is 515172001. The reversal of 515172000 is 271515.

It is a super-3 number, since 3×515172000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (515172001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80934 + ... + 87066.

It is an arithmetic number, because the mean of its divisors is an integer number (10047492).

Almost surely, 2^515172000 is an apocalyptic number.

515172000 is a gapful number since it is divisible by the number (50) 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 515172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964559232).

515172000 is an abundant number, since it is smaller than the sum of its proper divisors (1413946464).

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

515172000 is a wasteful number, since it uses less digits than its factorization.

515172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 515172000 is about 22697.4007322424. The cubic root of 515172000 is about 801.6486833035.

The spelling of 515172000 in words is "five hundred fifteen million, one hundred seventy-two thousand".