61003535346576 has 45 divisors (see below), whose sum is σ = 170725434140209. Its totient is φ = 20334480540288.

The previous prime is 61003535346499. The next prime is 61003535346583. The reversal of 61003535346576 is 67564353530016.

The square root of 61003535346576 is 7810476.

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

61003535346576 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 3 + 5 + 35 + 34 + 6 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50299017152400 + 10704518194176 = 7092180^2 + 3271776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93400276 + ... + 94051148.

Almost surely, 2^{61003535346576} is an apocalyptic number.

61003535346576 is the 7810476-th square number.

It is an amenable number.

61003535346576 is an abundant number, since it is smaller than the sum of its proper divisors (109721898793633).

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

61003535346576 is an frugal number, since it uses more digits than its factorization.

61003535346576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301760 (or 650878 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 61003535346576 in words is "sixty-one trillion, three billion, five hundred thirty-five million, three hundred forty-six thousand, five hundred seventy-six".