102461532561 has 6 divisors (see below), whose sum is σ = 147999991490. Its totient is φ = 68307688368.

The previous prime is 102461532559. The next prime is 102461532571. The reversal of 102461532561 is 165235164201.

102461532561 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 61 + 5 + 32 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95592272400 + 6869260161 = 309180^2 + 82881^2 .

It is not a de Polignac number, because 102461532561 - 2¹ = 102461532559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102461532571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5692307356 + ... + 5692307373.

Almost surely, 2^102461532561 is an apocalyptic number.

It is an amenable number.

102461532561 is a deficient number, since it is larger than the sum of its proper divisors (45538458929).

102461532561 is a wasteful number, since it uses less digits than its factorization.

102461532561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11384614735 (or 11384614732 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 102461532561 its reverse (165235164201), we get a palindrome (267696696762).

The spelling of 102461532561 in words is "one hundred two billion, four hundred sixty-one million, five hundred thirty-two thousand, five hundred sixty-one".