6241153132900 has 243 divisors, whose sum is σ = 15973292374977. Its totient is φ = 2110504704000.

The previous prime is 6241153132829. The next prime is 6241153132937. The reversal of 6241153132900 is 92313511426.

The square root of 6241153132900 is 2498230.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1837971295524 + 4403181837376 = 1355718^2 + 2098376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6241153132900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15563972700 + ... + 15563973100.

Almost surely, 2^{6241153132900} is an apocalyptic number.

6241153132900 is the 2498230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6241153132900

6241153132900 is an abundant number, since it is smaller than the sum of its proper divisors (9732139242077).

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

6241153132900 is an equidigital number, since it uses as much as digits as its factorization.

6241153132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 6241153132900 in words is "six trillion, two hundred forty-one billion, one hundred fifty-three million, one hundred thirty-two thousand, nine hundred".