2652146160513 has 32 divisors (see below), whose sum is σ = 3902558684160. Its totient is φ = 1594618280640.

The previous prime is 2652146160493. The next prime is 2652146160523. The reversal of 2652146160513 is 3150616412562.

It is not a de Polignac number, because 2652146160513 - 2¹⁶ = 2652146094977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2652146160523) 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 31 ways as a sum of consecutive naturals, for example, 4517206 + ... + 5070447.

It is an arithmetic number, because the mean of its divisors is an integer number (121954958880).

Almost surely, 2^{2652146160513} is an apocalyptic number.

2652146160513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2652146160513 is a deficient number, since it is larger than the sum of its proper divisors (1250412523647).

2652146160513 is a wasteful number, since it uses less digits than its factorization.

2652146160513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587909.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2652146160513 in words is "two trillion, six hundred fifty-two billion, one hundred forty-six million, one hundred sixty thousand, five hundred thirteen".