513301002014000 has 40 divisors (see below), whose sum is σ = 1241161822874688. Its totient is φ = 205320400804800.

The previous prime is 513301002013999. The next prime is 513301002014023. The reversal of 513301002014000 is 410200103315.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128325248504 + ... + 128325252503.

Almost surely, 2^{513301002014000} is an apocalyptic number.

513301002014000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513301002014000 is an abundant number, since it is smaller than the sum of its proper divisors (727860820860688).

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

513301002014000 is a wasteful number, since it uses less digits than its factorization.

513301002014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256650501030 (or 256650501014 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 513301002014000 its reverse (410200103315), we get a palindrome (513711202117315).

The spelling of 513301002014000 in words is "five hundred thirteen trillion, three hundred one billion, two million, fourteen thousand".