511103225430 has 384 divisors, whose sum is σ = 1613719065600. Its totient is φ = 114759203328.

The previous prime is 511103225429. The next prime is 511103225443. The reversal of 511103225430 is 34522301115.

511103225430 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 0 + 3 + 225 + 430 = 666.

It is a super-2 number, since 2×511103225430² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 511103225394 and 511103225403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191926279 + ... + 191928941.

It is an arithmetic number, because the mean of its divisors is an integer number (4202393400).

Almost surely, 2^511103225430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511103225430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806859532800).

511103225430 is an abundant number, since it is smaller than the sum of its proper divisors (1102615840170).

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

511103225430 is a wasteful number, since it uses less digits than its factorization.

511103225430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 511103225430 its reverse (34522301115), we get a palindrome (545625526545).

The spelling of 511103225430 in words is "five hundred eleven billion, one hundred three million, two hundred twenty-five thousand, four hundred thirty".