513476130150 has 384 divisors, whose sum is σ = 1460735078400. Its totient is φ = 132591513600.

The previous prime is 513476130133. The next prime is 513476130217. The reversal of 513476130150 is 51031674315.

513476130150 is a `hidden beast` number, since 5 + 1 + 3 + 476 + 1 + 30 + 150 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1651048495 + ... + 1651048805.

It is an arithmetic number, because the mean of its divisors is an integer number (3803997600).

Almost surely, 2^513476130150 is an apocalyptic number.

513476130150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513476130150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730367539200).

513476130150 is an abundant number, since it is smaller than the sum of its proper divisors (947258948250).

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

513476130150 is a wasteful number, since it uses less digits than its factorization.

513476130150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 513476130150 in words is "five hundred thirteen billion, four hundred seventy-six million, one hundred thirty thousand, one hundred fifty".