6213199331641 has 27 divisors (see below), whose sum is σ = 6615865207791. Its totient is φ = 5834187614304.

The previous prime is 6213199331627. The next prime is 6213199331681. The reversal of 6213199331641 is 1461339913126.

The square root of 6213199331641 is 2492629.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5998556148025 + 214643183616 = 2449195^2 + 463296^2 .

It is not a de Polignac number, because 6213199331641 - 2⁷ = 6213199331513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6213199331681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6014713261 + ... + 6014714293.

It is an arithmetic number, because the mean of its divisors is an integer number (245032044733).

Almost surely, 2^{6213199331641} is an apocalyptic number.

6213199331641 is the 2492629-th square number.

6213199331641 is the 1246315-th centered octagonal number.

It is an amenable number.

6213199331641 is a deficient number, since it is larger than the sum of its proper divisors (402665876150).

6213199331641 is an frugal number, since it uses more digits than its factorization.

6213199331641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 1179 counting only the distinct ones).

The product of its digits is 629856, while the sum is 49.

Multiplying 6213199331641 by its sum of digits (49), we get a square (304446767250409 = 17448403²).

The spelling of 6213199331641 in words is "six trillion, two hundred thirteen billion, one hundred ninety-nine million, three hundred thirty-one thousand, six hundred forty-one".