35252101273104 has 135 divisors (see below), whose sum is σ = 104126678348589. Its totient is φ = 11131815018240.

The previous prime is 35252101273093. The next prime is 35252101273127. The reversal of 35252101273104 is 40137210125253.

The square root of 35252101273104 is 5937348.

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

35252101273104 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 210 + 127 + 310 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32904587007504 + 2347514265600 = 5736252^2 + 1532160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1353702324 + ... + 1353728364.

Almost surely, 2^{35252101273104} is an apocalyptic number.

35252101273104 is the 5937348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35252101273104

35252101273104 is an abundant number, since it is smaller than the sum of its proper divisors (68874577075485).

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

35252101273104 is an frugal number, since it uses more digits than its factorization.

35252101273104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52134 (or 26065 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

35252101273104 divided by its sum of digits (36) gives a square (979225035364 = 989558²).

Adding to 35252101273104 its reverse (40137210125253), we get a palindrome (75389311398357).

The spelling of 35252101273104 in words is "thirty-five trillion, two hundred fifty-two billion, one hundred one million, two hundred seventy-three thousand, one hundred four".