61484657521 has 9 divisors (see below), whose sum is σ = 71524988121. Its totient is φ = 52699647252.

The previous prime is 61484657497. The next prime is 61484657539. The reversal of 61484657521 is 12575648416.

The square root of 61484657521 is 247961.

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

61484657521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61484657521 - 2¹⁷ = 61484526449 is a prime.

It is a super-2 number, since 2×61484657521² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61484657821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1718016 + ... + 1753438.

Almost surely, 2^61484657521 is an apocalyptic number.

61484657521 is the 247961-st square number.

61484657521 is the 123981-st centered octagonal number.

It is an amenable number.

61484657521 is a deficient number, since it is larger than the sum of its proper divisors (10040330600).

61484657521 is an frugal number, since it uses more digits than its factorization.

61484657521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70860 (or 35430 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 49.

Multiplying 61484657521 by its sum of digits (49), we get a square (3012748218529 = 1735727²).

61484657521 divided by its sum of digits (49) gives a square (1254788929 = 35423²).

The spelling of 61484657521 in words is "sixty-one billion, four hundred eighty-four million, six hundred fifty-seven thousand, five hundred twenty-one".