61009377722500 has 45 divisors (see below), whose sum is σ = 133416161247369. Its totient is φ = 24403594872000.

The previous prime is 61009377722497. The next prime is 61009377722521. The reversal of 61009377722500 is 522777390016.

The square root of 61009377722500 is 7810850.

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

It can be written as a sum of positive squares in 7 ways, for example, as 59973965649796 + 1035412072704 = 7744286^2 + 1017552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 390464392 + ... + 390620608.

Almost surely, 2^{61009377722500} is an apocalyptic number.

61009377722500 is the 7810850-th square number.

It is an amenable number.

61009377722500 is an abundant number, since it is smaller than the sum of its proper divisors (72406783524869).

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

61009377722500 is an frugal number, since it uses more digits than its factorization.

61009377722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312458 (or 156224 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 49.

The spelling of 61009377722500 in words is "sixty-one trillion, nine billion, three hundred seventy-seven million, seven hundred twenty-two thousand, five hundred".