509697552 has 80 divisors (see below), whose sum is σ = 1620590720. Its totient is φ = 134424576.

The previous prime is 509697547. The next prime is 509697557. The reversal of 509697552 is 255796905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509697547) and next prime (509697557).

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

It is not an unprimeable number, because it can be changed into a prime (509697557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53977 + ... + 62712.

It is an arithmetic number, because the mean of its divisors is an integer number (20257384).

Almost surely, 2^509697552 is an apocalyptic number.

509697552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

509697552 is an abundant number, since it is smaller than the sum of its proper divisors (1110893168).

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

509697552 is a wasteful number, since it uses less digits than its factorization.

509697552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116720 (or 116714 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 48.

The square root of 509697552 is about 22576.4822769182. The cubic root of 509697552 is about 798.7990062531.

The spelling of 509697552 in words is "five hundred nine million, six hundred ninety-seven thousand, five hundred fifty-two".