513950355072 has 1280 divisors, whose sum is σ = 2073929932800. Its totient is φ = 122276044800.

The previous prime is 513950355049. The next prime is 513950355101. The reversal of 513950355072 is 270553059315.

513950355072 is a `hidden beast` number, since 5 + 1 + 3 + 95 + 0 + 3 + 550 + 7 + 2 = 666.

It is a super-2 number, since 2×513950355072² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 470219358 + ... + 470220450.

It is an arithmetic number, because the mean of its divisors is an integer number (1620257760).

Almost surely, 2^513950355072 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 513950355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036964966400).

513950355072 is an abundant number, since it is smaller than the sum of its proper divisors (1559979577728).

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

513950355072 is a wasteful number, since it uses less digits than its factorization.

513950355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 45.

The spelling of 513950355072 in words is "five hundred thirteen billion, nine hundred fifty million, three hundred fifty-five thousand, seventy-two".