7052158248100 has 243 divisors, whose sum is σ = 18136705678497. Its totient is φ = 2373205181760.

The previous prime is 7052158248097. The next prime is 7052158248133. The reversal of 7052158248100 is 18428512507.

The square root of 7052158248100 is 2655590.

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., 2538776969316 + 4513381278784 = 1593354^2 + 2124472^2 .

It is a super-2 number, since 2×7052158248100² (a number of 26 digits) contains 22 as substring.

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, 10967586379 + ... + 10967587021.

Almost surely, 2^{7052158248100} is an apocalyptic number.

7052158248100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7052158248100 is the 2655590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7052158248100

7052158248100 is an abundant number, since it is smaller than the sum of its proper divisors (11084547430397).

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

7052158248100 is an equidigital number, since it uses as much as digits as its factorization.

7052158248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 7052158248100 in words is "seven trillion, fifty-two billion, one hundred fifty-eight million, two hundred forty-eight thousand, one hundred".