512152900 has 108 divisors (see below), whose sum is σ = 1304583168. Its totient is φ = 174000960.

The previous prime is 512152871. The next prime is 512152909. The reversal of 512152900 is 9251215.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (512152909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 621889 + ... + 622711.

Almost surely, 2^512152900 is an apocalyptic number.

512152900 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 512152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652291584).

512152900 is an abundant number, since it is smaller than the sum of its proper divisors (792430268).

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

512152900 is a wasteful number, since it uses less digits than its factorization.

512152900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 512152900 is about 22630.7953903525. The cubic root of 512152900 is about 800.0796274907.

The spelling of 512152900 in words is "five hundred twelve million, one hundred fifty-two thousand, nine hundred".