61488505 has 16 divisors (see below), whose sum is σ = 79626960. Its totient is φ = 45312768.

The previous prime is 61488491. The next prime is 61488517. The reversal of 61488505 is 50588416.

61488505 is a nontrivial binomial coefficient, being equal to C(11090, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 35712576 + 25775929 = 5976^2 + 5077^2 .

It is a cyclic number.

It is not a de Polignac number, because 61488505 - 2⁷ = 61488377 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54891 + ... + 55999.

It is an arithmetic number, because the mean of its divisors is an integer number (4976685).

Almost surely, 2^61488505 is an apocalyptic number.

61488505 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61488505 is the 11089-th triangular number and also the 5545-th hexagonal number.

61488505 is the 3697-th centered nonagonal number.

It is an amenable number.

61488505 is a deficient number, since it is larger than the sum of its proper divisors (18138455).

61488505 is a wasteful number, since it uses less digits than its factorization.

61488505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980.

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 61488505 is about 7841.4606419978. The cubic root of 61488505 is about 394.6977445237.

It can be divided in two parts, 61 and 488505, that added together give a triangular number (488566 = T₉₈₈).

The spelling of 61488505 in words is "sixty-one million, four hundred eighty-eight thousand, five hundred five".