511145000 has 40 divisors (see below), whose sum is σ = 1197624450. Its totient is φ = 204456000.

The previous prime is 511144993. The next prime is 511145003. The reversal of 511145000 is 541115.

It can be written as a sum of positive squares in 5 ways, for example, as 14122564 + 497022436 = 3758^2 + 22294^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×511145000² = 522538422050000000, 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 511145000.

It is not an unprimeable number, because it can be changed into a prime (511145003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46115 + ... + 56114.

Almost surely, 2^511145000 is an apocalyptic number.

511145000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

511145000 is an abundant number, since it is smaller than the sum of its proper divisors (686479450).

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

511145000 is a wasteful number, since it uses less digits than its factorization.

511145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102255 (or 102236 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 511145000 is about 22608.5160946047. The cubic root of 511145000 is about 799.5544393907.

Adding to 511145000 its reverse (541115), we get a palindrome (511686115).

The spelling of 511145000 in words is "five hundred eleven million, one hundred forty-five thousand".