511201152 has 512 divisors, whose sum is σ = 2009318400. Its totient is φ = 123863040.

The previous prime is 511201147. The next prime is 511201153. The reversal of 511201152 is 251102115.

511201152 is a `hidden beast` number, since 511 + 2 + 0 + 1 + 152 = 666.

It is a super-2 number, since 2×511201152² = 522653235612254208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511201153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4523848 + ... + 4523960.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2^511201152 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 511201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004659200).

511201152 is an abundant number, since it is smaller than the sum of its proper divisors (1498117248).

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

511201152 is a wasteful number, since it uses less digits than its factorization.

511201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 511201152 is about 22609.7578934406. The cubic root of 511201152 is about 799.5837167562.

Adding to 511201152 its reverse (251102115), we get a palindrome (762303267).

The spelling of 511201152 in words is "five hundred eleven million, two hundred one thousand, one hundred fifty-two".