513379776 has 112 divisors (see below), whose sum is σ = 1671832064. Its totient is φ = 135392256.

The previous prime is 513379759. The next prime is 513379777. The reversal of 513379776 is 677973315.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a cake number, because a cake can be divided into 513379776 parts by 1455 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513379777) 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, 2781 + ... + 32163.

It is an arithmetic number, because the mean of its divisors is an integer number (14927072).

Almost surely, 2^513379776 is an apocalyptic number.

513379776 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 513379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835916032).

513379776 is an abundant number, since it is smaller than the sum of its proper divisors (1158452288).

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

513379776 is a wasteful number, since it uses less digits than its factorization.

513379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29418 (or 29408 counting only the distinct ones).

The product of its digits is 833490, while the sum is 48.

The square root of 513379776 is about 22657.8855147606. The cubic root of 513379776 is about 800.7179887557.

The spelling of 513379776 in words is "five hundred thirteen million, three hundred seventy-nine thousand, seven hundred seventy-six".