514250041012752 has 320 divisors, whose sum is σ = 1465822878474240. Its totient is φ = 154056768307200.

The previous prime is 514250041012703. The next prime is 514250041012759. The reversal of 514250041012752 is 257210140052415.

It is a super-2 number, since 2×514250041012752² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 514250041012752.

It is not an unprimeable number, because it can be changed into a prime (514250041012759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93178116649 + ... + 93178122167.

It is an arithmetic number, because the mean of its divisors is an integer number (4580696495232).

Almost surely, 2^{514250041012752} 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 514250041012752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732911439237120).

514250041012752 is an abundant number, since it is smaller than the sum of its proper divisors (951572837461488).

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

514250041012752 is a wasteful number, since it uses less digits than its factorization.

514250041012752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The spelling of 514250041012752 in words is "five hundred fourteen trillion, two hundred fifty billion, forty-one million, twelve thousand, seven hundred fifty-two".