35253442081 has 45 divisors (see below), whose sum is σ = 42398421359. Its totient is φ = 29290404000.

The previous prime is 35253442033. The next prime is 35253442093. The reversal of 35253442081 is 18024435253.

The square root of 35253442081 is 187759.

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

It can be written as a sum of positive squares in 7 ways, for example, as 24333192081 + 10920250000 = 155991^2 + 104500^2 .

It is not a de Polignac number, because 35253442081 - 2¹³ = 35253433889 is a prime.

It is a super-2 number, since 2×35253442081² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35253442081.

It is not an unprimeable number, because it can be changed into a prime (35253442001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 349043931 + ... + 349044031.

Almost surely, 2^35253442081 is an apocalyptic number.

35253442081 is the 187759-th square number.

35253442081 is the 93880-th centered octagonal number.

It is an amenable number.

35253442081 is a deficient number, since it is larger than the sum of its proper divisors (7144979278).

35253442081 is an frugal number, since it uses more digits than its factorization.

35253442081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 35253442081 in words is "thirty-five billion, two hundred fifty-three million, four hundred forty-two thousand, eighty-one".