209752846641513 has 48 divisors (see below), whose sum is σ = 346648229720832. Its totient is φ = 119723936976000.

The previous prime is 209752846641491. The next prime is 209752846641553. The reversal of 209752846641513 is 315146648257902.

It is a happy number.

209752846641513 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 52 + 8 + 4 + 6 + 64 + 1 + 513 = 666.

It is not a de Polignac number, because 209752846641513 - 2⁴² = 205354800130409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (209752846641553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033260483 + ... + 1033463463.

It is an arithmetic number, because the mean of its divisors is an integer number (7221838119184).

It is a 1-persistent number, because it is pandigital, but 2⋅209752846641513 = 419505693283026 is not.

Almost surely, 2^{209752846641513} is an apocalyptic number.

It is an amenable number.

209752846641513 is a deficient number, since it is larger than the sum of its proper divisors (136895383079319).

209752846641513 is a wasteful number, since it uses less digits than its factorization.

209752846641513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221366 (or 221363 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 209752846641513 in words is "two hundred nine trillion, seven hundred fifty-two billion, eight hundred forty-six million, six hundred forty-one thousand, five hundred thirteen".