2252151200513 has 8 divisors (see below), whose sum is σ = 2259838152000. Its totient is φ = 2244475871568.

The previous prime is 2252151200449. The next prime is 2252151200701. The reversal of 2252151200513 is 3150021512522.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2252151200513 - 2⁶ = 2252151200449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2252151200213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2517338 + ... + 3292611.

It is an arithmetic number, because the mean of its divisors is an integer number (282479769000).

Almost surely, 2^{2252151200513} is an apocalyptic number.

It is an amenable number.

2252151200513 is a deficient number, since it is larger than the sum of its proper divisors (7686951487).

2252151200513 is an equidigital number, since it uses as much as digits as its factorization.

2252151200513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811271.

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 2252151200513 in words is "two trillion, two hundred fifty-two billion, one hundred fifty-one million, two hundred thousand, five hundred thirteen".