515641152 has 224 divisors, whose sum is σ = 1577157120. Its totient is φ = 147363840.

The previous prime is 515641123. The next prime is 515641153. The reversal of 515641152 is 251146515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515641153) 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, 3936127 + ... + 3936257.

It is an arithmetic number, because the mean of its divisors is an integer number (7040880).

Almost surely, 2^515641152 is an apocalyptic number.

515641152 is a gapful number since it is divisible by the number (52) 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 515641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788578560).

515641152 is an abundant number, since it is smaller than the sum of its proper divisors (1061515968).

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

515641152 is a wasteful number, since it uses less digits than its factorization.

515641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 515641152 is about 22707.7333082807. The cubic root of 515641152 is about 801.8919554369.

Adding to 515641152 its reverse (251146515), we get a palindrome (766787667).

The spelling of 515641152 in words is "five hundred fifteen million, six hundred forty-one thousand, one hundred fifty-two".