513542536 has 64 divisors (see below), whose sum is σ = 1070884080. Its totient is φ = 229340160.

The previous prime is 513542509. The next prime is 513542563. The reversal of 513542536 is 635245315.

It is an interprime number because it is at equal distance from previous prime (513542509) and next prime (513542563).

It can be written as a sum of positive squares in 8 ways, for example, as 17589636 + 495952900 = 4194^2 + 22270^2 .

It is a super-2 number, since 2×513542536² = 527451872562622592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219606 + ... + 1220026.

Almost surely, 2^513542536 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 513542536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535442040).

513542536 is an abundant number, since it is smaller than the sum of its proper divisors (557341544).

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

513542536 is a wasteful number, since it uses less digits than its factorization.

513542536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its digits is 54000, while the sum is 34.

The square root of 513542536 is about 22661.4769156823. The cubic root of 513542536 is about 800.8025986916.

It can be divided in two parts, 51354 and 2536, that multiplied together give a square (130233744 = 11412²).

The spelling of 513542536 in words is "five hundred thirteen million, five hundred forty-two thousand, five hundred thirty-six".