514015234000 has 80 divisors (see below), whose sum is σ = 1244395728576. Its totient is φ = 205356816000.

The previous prime is 514015233997. The next prime is 514015234001. The reversal of 514015234000 is 432510415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514015234001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498615 + ... + 1809385.

Almost surely, 2^514015234000 is an apocalyptic number.

514015234000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514015234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622197864288).

514015234000 is an abundant number, since it is smaller than the sum of its proper divisors (730380494576).

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

514015234000 is a wasteful number, since it uses less digits than its factorization.

514015234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311621 (or 311605 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 514015234000 its reverse (432510415), we get a palindrome (514447744415).

It can be divided in two parts, 51401 and 5234000, that added together give a square (5285401 = 2299²).

The spelling of 514015234000 in words is "five hundred fourteen billion, fifteen million, two hundred thirty-four thousand".