513477621 has 12 divisors (see below), whose sum is σ = 755684748. Its totient is φ = 335859264.

The previous prime is 513477617. The next prime is 513477623. The reversal of 513477621 is 126774315.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 442260900 + 71216721 = 21030^2 + 8439^2 .

It is not a de Polignac number, because 513477621 - 2² = 513477617 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513477623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537760 + ... + 538713.

It is an arithmetic number, because the mean of its divisors is an integer number (62973729).

Almost surely, 2^513477621 is an apocalyptic number.

It is an amenable number.

513477621 is a deficient number, since it is larger than the sum of its proper divisors (242207127).

513477621 is a wasteful number, since it uses less digits than its factorization.

513477621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076532 (or 1076529 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 513477621 is about 22660.0445939544. The cubic root of 513477621 is about 800.7688551114.

The spelling of 513477621 in words is "five hundred thirteen million, four hundred seventy-seven thousand, six hundred twenty-one".