511005340320 has 96 divisors (see below), whose sum is σ = 1609873900992. Its totient is φ = 136250560512.

The previous prime is 511005340297. The next prime is 511005340343. The reversal of 511005340320 is 23043500115.

It is an interprime number because it is at equal distance from previous prime (511005340297) and next prime (511005340343).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×511005340320² (a number of 24 digits) 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, 3906699 + ... + 4035381.

It is an arithmetic number, because the mean of its divisors is an integer number (16769519802).

Almost surely, 2^511005340320 is an apocalyptic number.

It is an amenable number.

511005340320 is an abundant number, since it is smaller than the sum of its proper divisors (1098868560672).

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

511005340320 is a wasteful number, since it uses less digits than its factorization.

511005340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136974 (or 136966 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 511005340320 its reverse (23043500115), we get a palindrome (534048840435).

The spelling of 511005340320 in words is "five hundred eleven billion, five million, three hundred forty thousand, three hundred twenty".