511211506428 has 576 divisors, whose sum is σ = 1668428955648. Its totient is φ = 128564029440.

The previous prime is 511211506423. The next prime is 511211506441. The reversal of 511211506428 is 824605112115.

511211506428 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 1 + 1 + 5 + 0 + 642 + 8 = 666.

511211506428 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511211506428² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 511211506392 and 511211506401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511211506423) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1392946701 + ... + 1392947067.

It is an arithmetic number, because the mean of its divisors is an integer number (2896578048).

Almost surely, 2^511211506428 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 511211506428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834214477824).

511211506428 is an abundant number, since it is smaller than the sum of its proper divisors (1157217449220).

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

511211506428 is a wasteful number, since it uses less digits than its factorization.

511211506428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 511211506428 in words is "five hundred eleven billion, two hundred eleven million, five hundred six thousand, four hundred twenty-eight".