610962652881 has 135 divisors (see below), whose sum is σ = 1122217787691. Its totient is φ = 330240195936.

The previous prime is 610962652873. The next prime is 610962652939. The reversal of 610962652881 is 188256269016.

The square root of 610962652881 is 781641.

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

610962652881 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 626 + 5 + 2 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142170473025 + 468792179856 = 377055^2 + 684684^2 .

It is not a de Polignac number, because 610962652881 - 2³ = 610962652873 is a prime.

It is a super-2 number, since 2×610962652881² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (610962652831) 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, 935623951 + ... + 935624603.

Almost surely, 2^610962652881 is an apocalyptic number.

610962652881 is the 781641-st square number.

610962652881 is the 390821-st centered octagonal number.

It is an amenable number.

610962652881 is a deficient number, since it is larger than the sum of its proper divisors (511255134810).

610962652881 is an frugal number, since it uses more digits than its factorization.

610962652881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 610962652881 in words is "six hundred ten billion, nine hundred sixty-two million, six hundred fifty-two thousand, eight hundred eighty-one".