513964136 has 96 divisors (see below), whose sum is σ = 1190433600. Its totient is φ = 206841600.

The previous prime is 513964133. The next prime is 513964147. The reversal of 513964136 is 631469315.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 513964136.

It is not an unprimeable number, because it can be changed into a prime (513964133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124420 + ... + 1124876.

It is an arithmetic number, because the mean of its divisors is an integer number (12400350).

Almost surely, 2^513964136 is an apocalyptic number.

513964136 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 513964136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595216800).

513964136 is an abundant number, since it is smaller than the sum of its proper divisors (676469464).

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

513964136 is a wasteful number, since it uses less digits than its factorization.

513964136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 513964136 is about 22670.7771370988. Note that the first 3 decimals coincide. The cubic root of 513964136 is about 801.0216821515.

The spelling of 513964136 in words is "five hundred thirteen million, nine hundred sixty-four thousand, one hundred thirty-six".