515263132403712 has 1728 divisors, whose sum is σ = 1975811516078400. Its totient is φ = 133827682222080.

The previous prime is 515263132403711. The next prime is 515263132403791. The reversal of 515263132403712 is 217304231362515.

It is a happy number.

515263132403712 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 6 + 31 + 3 + 240 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×515263132403712² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (515263132403711) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26555839003 + ... + 26555858405.

It is an arithmetic number, because the mean of its divisors is an integer number (1143409442175).

Almost surely, 2^{515263132403712} 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 515263132403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987905758039200).

515263132403712 is an abundant number, since it is smaller than the sum of its proper divisors (1460548383674688).

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

515263132403712 is an equidigital number, since it uses as much as digits as its factorization.

515263132403712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19482 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 515263132403712 in words is "five hundred fifteen trillion, two hundred sixty-three billion, one hundred thirty-two million, four hundred three thousand, seven hundred twelve".