513787505 has 64 divisors (see below), whose sum is σ = 791271936. Its totient is φ = 311040000.

The previous prime is 513787499. The next prime is 513787511. The reversal of 513787505 is 505787315.

It is an interprime number because it is at equal distance from previous prime (513787499) and next prime (513787511).

It is not a de Polignac number, because 513787505 - 2⁸ = 513787249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2838515 + ... + 2838695.

It is an arithmetic number, because the mean of its divisors is an integer number (12363624).

Almost surely, 2^513787505 is an apocalyptic number.

513787505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513787505 is a deficient number, since it is larger than the sum of its proper divisors (277484431).

513787505 is a wasteful number, since it uses less digits than its factorization.

513787505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 147000, while the sum is 41.

The square root of 513787505 is about 22666.8812367295. The cubic root of 513787505 is about 800.9299108509.

The spelling of 513787505 in words is "five hundred thirteen million, seven hundred eighty-seven thousand, five hundred five".