35573721425641 has 27 divisors (see below), whose sum is σ = 41770150861509. Its totient is φ = 30208155380928.

The previous prime is 35573721425621. The next prime is 35573721425657. The reversal of 35573721425641 is 14652412737553.

The square root of 35573721425641 is 5964371.

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 9244549035225 + 26329172390416 = 3040485^2 + 5131196^2 .

It is not a de Polignac number, because 35573721425641 - 2⁵ = 35573721425609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35573721425621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4550811165 + ... + 4550818981.

Almost surely, 2^{35573721425641} is an apocalyptic number.

35573721425641 is the 5964371-st square number.

35573721425641 is the 2982186-th centered octagonal number.

It is an amenable number.

35573721425641 is a deficient number, since it is larger than the sum of its proper divisors (6196429435868).

35573721425641 is an frugal number, since it uses more digits than its factorization.

35573721425641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15866 (or 7933 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 55.

The spelling of 35573721425641 in words is "thirty-five trillion, five hundred seventy-three billion, seven hundred twenty-one million, four hundred twenty-five thousand, six hundred forty-one".