61000510606100 has 54 divisors (see below), whose sum is σ = 143336761973370. Its totient is φ = 22523265448320.

The previous prime is 61000510606093. The next prime is 61000510606163. The reversal of 61000510606100 is 160601500016.

It can be written as a sum of positive squares in 9 ways, for example, as 28523140578436 + 32477370027664 = 5340706^2 + 5698892^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 61000510606100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1804731935 + ... + 1804765734.

Almost surely, 2^{61000510606100} is an apocalyptic number.

It is an amenable number.

61000510606100 is an abundant number, since it is smaller than the sum of its proper divisors (82336251367270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61000510606100 is a wasteful number, since it uses less digits than its factorization.

61000510606100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609497709 (or 3609497689 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 61000510606100 in words is "sixty-one trillion, five hundred ten million, six hundred six thousand, one hundred".