61735641521 has 16 divisors (see below), whose sum is σ = 64847898624. Its totient is φ = 58659434064.

The previous prime is 61735641503. The next prime is 61735641523. The reversal of 61735641521 is 12514653716.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 61735641521 - 2³⁴ = 44555772337 is a prime.

It is a super-2 number, since 2×61735641521² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61735641523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11945480 + ... + 11950646.

It is an arithmetic number, because the mean of its divisors is an integer number (4052993664).

Almost surely, 2^61735641521 is an apocalyptic number.

It is an amenable number.

61735641521 is a deficient number, since it is larger than the sum of its proper divisors (3112257103).

61735641521 is a wasteful number, since it uses less digits than its factorization.

61735641521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540.

The product of its digits is 151200, while the sum is 41.

The spelling of 61735641521 in words is "sixty-one billion, seven hundred thirty-five million, six hundred forty-one thousand, five hundred twenty-one".