610896996801 has 135 divisors (see below), whose sum is σ = 1117422226089. Its totient is φ = 321443531136.

The previous prime is 610896996799. The next prime is 610896996863. The reversal of 610896996801 is 108699698016.

The square root of 610896996801 is 781599.

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

610896996801 is a `hidden beast` number, since 610 + 8 + 9 + 6 + 9 + 9 + 6 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5731247025 + 605165749776 = 75705^2 + 777924^2 .

It is not a de Polignac number, because 610896996801 - 2¹ = 610896996799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (610896996601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1493635485 + ... + 1493635893.

Almost surely, 2^610896996801 is an apocalyptic number.

610896996801 is the 781599-th square number.

610896996801 is the 390800-th centered octagonal number.

It is an amenable number.

610896996801 is a deficient number, since it is larger than the sum of its proper divisors (506525229288).

610896996801 is an frugal number, since it uses more digits than its factorization.

610896996801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 610896996801 in words is "six hundred ten billion, eight hundred ninety-six million, nine hundred ninety-six thousand, eight hundred one".