513497700 has 54 divisors (see below), whose sum is σ = 1609532834. Its totient is φ = 136932480.

The previous prime is 513497689. The next prime is 513497707. The reversal of 513497700 is 7794315.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 115734564 + 397763136 = 10758^2 + 19944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (513497707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 284377 + ... + 286176.

Almost surely, 2^513497700 is an apocalyptic number.

513497700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513497700 is an abundant number, since it is smaller than the sum of its proper divisors (1096035134).

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

513497700 is a wasteful number, since it uses less digits than its factorization.

513497700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570573 (or 570563 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 513497700 is about 22660.4876381776. The cubic root of 513497700 is about 800.7792927154.

It can be divided in two parts, 51349 and 7700, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 513497700 in words is "five hundred thirteen million, four hundred ninety-seven thousand, seven hundred".