511952742 has 96 divisors (see below), whose sum is σ = 1302013440. Its totient is φ = 142369920.

The previous prime is 511952741. The next prime is 511952801. The reversal of 511952742 is 247259115.

It is a super-2 number, since 2×511952742² = 524191220082637128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511952697 and 511952706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511952741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795873 + ... + 796515.

It is an arithmetic number, because the mean of its divisors is an integer number (13562640).

Almost surely, 2^511952742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511952742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651006720).

511952742 is an abundant number, since it is smaller than the sum of its proper divisors (790060698).

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

511952742 is a wasteful number, since it uses less digits than its factorization.

511952742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 815 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 511952742 is about 22626.3727097385. The cubic root of 511952742 is about 799.9753857010.

The spelling of 511952742 in words is "five hundred eleven million, nine hundred fifty-two thousand, seven hundred forty-two".