513400572 has 96 divisors (see below), whose sum is σ = 1437004800. Its totient is φ = 158026176.

The previous prime is 513400571. The next prime is 513400603. The reversal of 513400572 is 275004315.

It is a happy number.

513400572 is a `hidden beast` number, since 51 + 3 + 40 + 0 + 572 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513400571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68473 + ... + 75599.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2^513400572 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 513400572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

513400572 is an abundant number, since it is smaller than the sum of its proper divisors (923604228).

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

513400572 is a wasteful number, since it uses less digits than its factorization.

513400572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 513400572 is about 22658.3444231921. The cubic root of 513400572 is about 800.7288004441.

Adding to 513400572 its reverse (275004315), we get a palindrome (788404887).

The spelling of 513400572 in words is "five hundred thirteen million, four hundred thousand, five hundred seventy-two".