513602381 has 2 divisors, whose sum is σ = 513602382. Its totient is φ = 513602380.

The previous prime is 513602347. The next prime is 513602407. The reversal of 513602381 is 183206315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275394025 + 238208356 = 16595^2 + 15434^2 .

It is a cyclic number.

It is not a de Polignac number, because 513602381 - 2²⁶ = 446493517 is a prime.

It is a super-2 number, since 2×513602381² = 527574811537738322, which contains 22 as substring.

It is equal to p_27033716 and since 513602381 and 27033716 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513601381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256801190 + 256801191.

It is an arithmetic number, because the mean of its divisors is an integer number (256801191).

Almost surely, 2^513602381 is an apocalyptic number.

It is an amenable number.

513602381 is a deficient number, since it is larger than the sum of its proper divisors (1).

513602381 is an equidigital number, since it uses as much as digits as its factorization.

513602381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 513602381 is about 22662.7972898316. The cubic root of 513602381 is about 800.8337043071.

Adding to 513602381 its reverse (183206315), we get a palindrome (696808696).

The spelling of 513602381 in words is "five hundred thirteen million, six hundred two thousand, three hundred eighty-one".