513355153014 has 96 divisors (see below), whose sum is σ = 1287967767840. Its totient is φ = 146045952000.

The previous prime is 513355152979. The next prime is 513355153019. The reversal of 513355153014 is 410351553315.

513355153014 is a `hidden beast` number, since 5 + 1 + 335 + 5 + 15 + 301 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513355153014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513355153019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159602 + ... + 1539930.

It is an arithmetic number, because the mean of its divisors is an integer number (13416330915).

Almost surely, 2^513355153014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513355153014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643983883920).

513355153014 is an abundant number, since it is smaller than the sum of its proper divisors (774612614826).

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

513355153014 is a wasteful number, since it uses less digits than its factorization.

513355153014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380766 (or 380763 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 513355153014 in words is "five hundred thirteen billion, three hundred fifty-five million, one hundred fifty-three thousand, fourteen".