513350901 has 36 divisors (see below), whose sum is σ = 864302400. Its totient is φ = 292754448.

The previous prime is 513350897. The next prime is 513350923. The reversal of 513350901 is 109053315.

It is not a de Polignac number, because 513350901 - 2² = 513350897 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513350941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316270 + ... + 317888.

It is an arithmetic number, because the mean of its divisors is an integer number (24008400).

Almost surely, 2^513350901 is an apocalyptic number.

It is an amenable number.

513350901 is a deficient number, since it is larger than the sum of its proper divisors (350951499).

513350901 is a wasteful number, since it uses less digits than its factorization.

513350901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 513350901 is about 22657.2483104193. The cubic root of 513350901 is about 800.7029763702.

The spelling of 513350901 in words is "five hundred thirteen million, three hundred fifty thousand, nine hundred one".