513090648 has 96 divisors (see below), whose sum is σ = 1591349760. Its totient is φ = 146301120.

The previous prime is 513090631. The next prime is 513090653. The reversal of 513090648 is 846090315.

513090648 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 9 + 0 + 648 = 666.

It is a super-3 number, since 3×513090648³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416193 + ... + 417423.

It is an arithmetic number, because the mean of its divisors is an integer number (16576560).

Almost surely, 2^513090648 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 513090648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795674880).

513090648 is an abundant number, since it is smaller than the sum of its proper divisors (1078259112).

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

513090648 is a wasteful number, since it uses less digits than its factorization.

513090648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 513090648 is about 22651.5043209055. The cubic root of 513090648 is about 800.5676429649.

The spelling of 513090648 in words is "five hundred thirteen million, ninety thousand, six hundred forty-eight".