511052564356230 has 256 divisors, whose sum is σ = 1420101675417600. Its totient is φ = 116630705917440.

The previous prime is 511052564356163. The next prime is 511052564356259. The reversal of 511052564356230 is 32653465250115.

It is a super-2 number, since 2×511052564356230² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511052564356230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4391974791 + ... + 4392091149.

It is an arithmetic number, because the mean of its divisors is an integer number (5547272169600).

Almost surely, 2^{511052564356230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511052564356230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710050837708800).

511052564356230 is an abundant number, since it is smaller than the sum of its proper divisors (909049111061370).

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

511052564356230 is a wasteful number, since it uses less digits than its factorization.

511052564356230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129059.

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 511052564356230 in words is "five hundred eleven trillion, fifty-two billion, five hundred sixty-four million, three hundred fifty-six thousand, two hundred thirty".