515618952 has 64 divisors (see below), whose sum is σ = 1348704000. Its totient is φ = 164098560.

The previous prime is 515618951. The next prime is 515618989. The reversal of 515618952 is 259816515.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (515618951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40674 + ... + 51822.

It is an arithmetic number, because the mean of its divisors is an integer number (21073500).

Almost surely, 2^515618952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515618952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674352000).

515618952 is an abundant number, since it is smaller than the sum of its proper divisors (833085048).

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

515618952 is a wasteful number, since it uses less digits than its factorization.

515618952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11242 counting only the distinct ones).

The product of its digits is 108000, while the sum is 42.

The square root of 515618952 is about 22707.2444827636. The cubic root of 515618952 is about 801.8804472677.

The spelling of 515618952 in words is "five hundred fifteen million, six hundred eighteen thousand, nine hundred fifty-two".