511142064 has 80 divisors (see below), whose sum is σ = 1397481984. Its totient is φ = 160652800.

The previous prime is 511142033. The next prime is 511142101. The reversal of 511142064 is 460241115.

It is a happy number.

It is a super-2 number, since 2×511142064² = 522532419180360192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75124 + ... + 81644.

Almost surely, 2^511142064 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 511142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698740992).

511142064 is an abundant number, since it is smaller than the sum of its proper divisors (886339920).

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

511142064 is a wasteful number, since it uses less digits than its factorization.

511142064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 511142064 is about 22608.4511632266. The cubic root of 511142064 is about 799.5529085164.

Adding to 511142064 its reverse (460241115), we get a palindrome (971383179).

The spelling of 511142064 in words is "five hundred eleven million, one hundred forty-two thousand, sixty-four".