513712101 has 16 divisors (see below), whose sum is σ = 824000000. Its totient is φ = 278099568.

The previous prime is 513712091. The next prime is 513712151. The reversal of 513712101 is 101217315.

It is a happy number.

It is not a de Polignac number, because 513712101 - 2⁶ = 513712037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513712151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643351 + ... + 644148.

It is an arithmetic number, because the mean of its divisors is an integer number (51500000).

Almost surely, 2^513712101 is an apocalyptic number.

It is an amenable number.

513712101 is a deficient number, since it is larger than the sum of its proper divisors (310287899).

513712101 is a wasteful number, since it uses less digits than its factorization.

513712101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287528.

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 513712101 is about 22665.2178679138. The cubic root of 513712101 is about 800.8907271592.

Adding to 513712101 its reverse (101217315), we get a palindrome (614929416).

The spelling of 513712101 in words is "five hundred thirteen million, seven hundred twelve thousand, one hundred one".