515741952 has 144 divisors (see below), whose sum is σ = 1534962240. Its totient is φ = 152371200.

The previous prime is 515741939. The next prime is 515741969. The reversal of 515741952 is 259147515.

It is a super-2 number, since 2×515741952² = 531979522105540608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 515741952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345624 + ... + 347112.

It is an arithmetic number, because the mean of its divisors is an integer number (10659460).

Almost surely, 2^515741952 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 515741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767481120).

515741952 is an abundant number, since it is smaller than the sum of its proper divisors (1019220288).

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

515741952 is a wasteful number, since it uses less digits than its factorization.

515741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1546 counting only the distinct ones).

The product of its digits is 63000, while the sum is 39.

The square root of 515741952 is about 22709.9527080089. The cubic root of 515741952 is about 801.9442045914.

The spelling of 515741952 in words is "five hundred fifteen million, seven hundred forty-one thousand, nine hundred fifty-two".