35070052900 has 81 divisors (see below), whose sum is σ = 77622881427. Its totient is φ = 13753108800.

The previous prime is 35070052867. The next prime is 35070052903. The reversal of 35070052900 is 925007053.

It is a happy number.

The square root of 35070052900 is 187270.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16153901604 + 18916151296 = 127098^2 + 137536^2 .

It is a super-2 number, since 2×35070052900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35070052903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114234547 + ... + 114234853.

Almost surely, 2^35070052900 is an apocalyptic number.

35070052900 is the 187270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35070052900

35070052900 is an abundant number, since it is smaller than the sum of its proper divisors (42552828527).

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

35070052900 is an equidigital number, since it uses as much as digits as its factorization.

35070052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

Adding to 35070052900 its reverse (925007053), we get a palindrome (35995059953).

The spelling of 35070052900 in words is "thirty-five billion, seventy million, fifty-two thousand, nine hundred".