515074245504 has 768 divisors, whose sum is σ = 1815065683200. Its totient is φ = 128274886656.

The previous prime is 515074245487. The next prime is 515074245509. The reversal of 515074245504 is 405542470515.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515074245509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1677766119 + ... + 1677766425.

It is an arithmetic number, because the mean of its divisors is an integer number (2363366775).

Almost surely, 2^515074245504 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 515074245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907532841600).

515074245504 is an abundant number, since it is smaller than the sum of its proper divisors (1299991437696).

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

515074245504 is a wasteful number, since it uses less digits than its factorization.

515074245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 42.

The spelling of 515074245504 in words is "five hundred fifteen billion, seventy-four million, two hundred forty-five thousand, five hundred four".