513257472 has 520 divisors, whose sum is σ = 1998079776. Its totient is φ = 127401984.

The previous prime is 513257467. The next prime is 513257501. The reversal of 513257472 is 274752315.

513257472 is a `hidden beast` number, since 5 + 13 + 2 + 574 + 72 = 666.

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

Its product of digits (58800) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30191608 + ... + 30191624.

Almost surely, 2^513257472 is an apocalyptic number.

513257472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999039888).

513257472 is an abundant number, since it is smaller than the sum of its proper divisors (1484822304).

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

513257472 is a wasteful number, since it uses less digits than its factorization.

513257472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 513257472 is about 22655.1864260703. The cubic root of 513257472 is about 800.6543978916.

It can be divided in two parts, 51 and 3257472, that added together give a palindrome (3257523).

The spelling of 513257472 in words is "five hundred thirteen million, two hundred fifty-seven thousand, four hundred seventy-two".