61351988228001 has 27 divisors (see below), whose sum is σ = 90729880671729. Its totient is φ = 39949473918312.

The previous prime is 61351988227987. The next prime is 61351988228077. The reversal of 61351988228001 is 10082288915316.

The square root of 61351988228001 is 7832751.

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

61351988228001 is a `hidden beast` number, since 6 + 1 + 351 + 9 + 8 + 8 + 2 + 280 + 0 + 1 = 666.

It is not a de Polignac number, because 61351988228001 - 2⁵ = 61351988227969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61351988228501) 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, 1010394520 + ... + 1010455238.

Almost surely, 2^{61351988228001} is an apocalyptic number.

61351988228001 is the 7832751-st square number.

61351988228001 is the 3916376-th centered octagonal number.

It is an amenable number.

61351988228001 is a deficient number, since it is larger than the sum of its proper divisors (29377892443728).

61351988228001 is an frugal number, since it uses more digits than its factorization.

61351988228001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121530 (or 60765 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 61351988228001 in words is "sixty-one trillion, three hundred fifty-one billion, nine hundred eighty-eight million, two hundred twenty-eight thousand, one".