61516588013 has 16 divisors (see below), whose sum is σ = 62955372480. Its totient is φ = 60095540736.

The previous prime is 61516588009. The next prime is 61516588027. The reversal of 61516588013 is 31088561516.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 61516588013 - 2² = 61516588009 is a prime.

It is a super-2 number, since 2×61516588013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61516558013) 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, 11502206 + ... + 11507552.

It is an arithmetic number, because the mean of its divisors is an integer number (3934710780).

Almost surely, 2^61516588013 is an apocalyptic number.

It is an amenable number.

61516588013 is a deficient number, since it is larger than the sum of its proper divisors (1438784467).

61516588013 is a wasteful number, since it uses less digits than its factorization.

61516588013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956.

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 61516588013 in words is "sixty-one billion, five hundred sixteen million, five hundred eighty-eight thousand, thirteen".