511416401344131 has 32 divisors (see below), whose sum is σ = 715078817026560. Its totient is φ = 324821844460800.

The previous prime is 511416401344129. The next prime is 511416401344133. The reversal of 511416401344131 is 131443104614115.

It is an interprime number because it is at equal distance from previous prime (511416401344129) and next prime (511416401344133).

It is not a de Polignac number, because 511416401344131 - 2¹ = 511416401344129 is a prime.

It is a super-3 number, since 3×511416401344131³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 511416401344131.

It is not an unprimeable number, because it can be changed into a prime (511416401344133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244142655 + ... + 246228488.

It is an arithmetic number, because the mean of its divisors is an integer number (22346213032080).

Almost surely, 2^{511416401344131} is an apocalyptic number.

511416401344131 is a deficient number, since it is larger than the sum of its proper divisors (203662415682429).

511416401344131 is a wasteful number, since it uses less digits than its factorization.

511416401344131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490371387.

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 511416401344131 its reverse (131443104614115), we get a palindrome (642859505958246).

The spelling of 511416401344131 in words is "five hundred eleven trillion, four hundred sixteen billion, four hundred one million, three hundred forty-four thousand, one hundred thirty-one".