513101952 has 240 divisors, whose sum is σ = 1682523150. Its totient is φ = 155105280.

The previous prime is 513101899. The next prime is 513102001. The reversal of 513101952 is 259101315.

It can be written as a sum of positive squares in only one way, i.e., 331822656 + 181279296 = 18216^2 + 13464^2 .

It is a super-2 number, since 2×513101952² = 526547226292420608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254324 + ... + 1254732.

Almost surely, 2^513101952 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 513101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841261575).

513101952 is an abundant number, since it is smaller than the sum of its proper divisors (1169421198).

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

513101952 is a wasteful number, since it uses less digits than its factorization.

513101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 513101952 is about 22651.7538393829. The cubic root of 513101952 is about 800.5735220756.

The spelling of 513101952 in words is "five hundred thirteen million, one hundred one thousand, nine hundred fifty-two".