514953936 has 420 divisors, whose sum is σ = 1877253732. Its totient is φ = 135862272.

The previous prime is 514953931. The next prime is 514953937. The reversal of 514953936 is 639359415.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 128595600 = 19656^2 + 11340^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514953891 and 514953900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514953931) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9716086 + ... + 9716138.

Almost surely, 2^514953936 is an apocalyptic number.

514953936 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 514953936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938626866).

514953936 is an abundant number, since it is smaller than the sum of its proper divisors (1362299796).

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

514953936 is a wasteful number, since it uses less digits than its factorization.

514953936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 514953936 is about 22692.5965019431. The cubic root of 514953936 is about 801.5355590206.

The spelling of 514953936 in words is "five hundred fourteen million, nine hundred fifty-three thousand, nine hundred thirty-six".