513563050 has 192 divisors, whose sum is σ = 1327915008. Its totient is φ = 142560000.

The previous prime is 513563023. The next prime is 513563051. The reversal of 513563050 is 50365315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (513563051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1551385 + ... + 1551715.

It is an arithmetic number, because the mean of its divisors is an integer number (6916224).

Almost surely, 2^513563050 is an apocalyptic number.

513563050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513563050 is an abundant number, since it is smaller than the sum of its proper divisors (814351958).

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

513563050 is a wasteful number, since it uses less digits than its factorization.

513563050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

The square root of 513563050 is about 22661.9295294995. The cubic root of 513563050 is about 800.8132615186.

The spelling of 513563050 in words is "five hundred thirteen million, five hundred sixty-three thousand, fifty".