513903936 has 224 divisors, whose sum is σ = 1702328320. Its totient is φ = 133208064.

The previous prime is 513903839. The next prime is 513903959. The reversal of 513903936 is 639309315.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 513903894 and 513903903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170405 + ... + 1170843.

It is an arithmetic number, because the mean of its divisors is an integer number (7599680).

Almost surely, 2^513903936 is an apocalyptic number.

513903936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851164160).

513903936 is an abundant number, since it is smaller than the sum of its proper divisors (1188424384).

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

513903936 is a wasteful number, since it uses less digits than its factorization.

513903936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 39.

The square root of 513903936 is about 22669.4493978129. The cubic root of 513903936 is about 800.9904066956.

The spelling of 513903936 in words is "five hundred thirteen million, nine hundred three thousand, nine hundred thirty-six".