511206072 has 48 divisors (see below), whose sum is σ = 1383897240. Its totient is φ = 157292928.

The previous prime is 511206049. The next prime is 511206103. The reversal of 511206072 is 270602115.

It is a super-3 number, since 3×511206072³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58963 + ... + 67074.

Almost surely, 2^511206072 is an apocalyptic number.

511206072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

511206072 is an abundant number, since it is smaller than the sum of its proper divisors (872691168).

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

511206072 is a wasteful number, since it uses less digits than its factorization.

511206072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126072 (or 126055 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 511206072 is about 22609.8666957592. The cubic root of 511206072 is about 799.5862819169.

Adding to 511206072 its reverse (270602115), we get a palindrome (781808187).

The spelling of 511206072 in words is "five hundred eleven million, two hundred six thousand, seventy-two".