61763708102121 has 45 divisors (see below), whose sum is σ = 97378019325741. Its totient is φ = 39007808977896.

The previous prime is 61763708102099. The next prime is 61763708102147. The reversal of 61763708102121 is 12120180736716.

The square root of 61763708102121 is 7858989.

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

61763708102121 is a `hidden beast` number, since 6 + 1 + 7 + 637 + 0 + 8 + 1 + 0 + 2 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 61763708102121 - 2⁹ = 61763708101609 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61763708102521) 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, 1343864140 + ... + 1343910098.

Almost surely, 2^{61763708102121} is an apocalyptic number.

61763708102121 is the 7858989-th square number.

61763708102121 is the 3929495-th centered octagonal number.

It is an amenable number.

61763708102121 is a deficient number, since it is larger than the sum of its proper divisors (35614311223620).

61763708102121 is an frugal number, since it uses more digits than its factorization.

61763708102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91968 (or 45981 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 61763708102121 its reverse (12120180736716), we get a palindrome (73883888838837).

The spelling of 61763708102121 in words is "sixty-one trillion, seven hundred sixty-three billion, seven hundred eight million, one hundred two thousand, one hundred twenty-one".