35407572561 has 9 divisors (see below), whose sum is σ = 51145086889. Its totient is φ = 23604672036.

The previous prime is 35407572553. The next prime is 35407572583. The reversal of 35407572561 is 16527570453.

It is a happy number.

The square root of 35407572561 is 188169.

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

35407572561 is a `hidden beast` number, since 3 + 540 + 7 + 57 + 2 + 56 + 1 = 666.

35407572561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 35407572561 - 2³ = 35407572553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35407572661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 533146 + ... + 595868.

Almost surely, 2^35407572561 is an apocalyptic number.

35407572561 is the 188169-th square number.

35407572561 is the 94085-th centered octagonal number.

It is an amenable number.

35407572561 is a deficient number, since it is larger than the sum of its proper divisors (15737514328).

35407572561 is an frugal number, since it uses more digits than its factorization.

35407572561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125452 (or 62726 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 35407572561 in words is "thirty-five billion, four hundred seven million, five hundred seventy-two thousand, five hundred sixty-one".