511201000 has 32 divisors (see below), whose sum is σ = 1196212680. Its totient is φ = 204480000.

The previous prime is 511200983. The next prime is 511201001. The reversal of 511201000 is 102115.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131652676 + 379548324 = 11474^2 + 19482^2 .

It is a super-2 number, since 2×511201000² = 522652924802000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511201001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254601 + ... + 256600.

Almost surely, 2^511201000 is an apocalyptic number.

511201000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

511201000 is an abundant number, since it is smaller than the sum of its proper divisors (685011680).

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

511201000 is a wasteful number, since it uses less digits than its factorization.

511201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511222 (or 511208 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 511201000 is about 22609.7545320598. The cubic root of 511201000 is about 799.5836375071.

Adding to 511201000 its reverse (102115), we get a palindrome (511303115).

The spelling of 511201000 in words is "five hundred eleven million, two hundred one thousand".