61633540061312 has 16 divisors (see below), whose sum is σ = 122785568091150. Its totient is φ = 30816770030592.

The previous prime is 61633540061311. The next prime is 61633540061321. The reversal of 61633540061312 is 21316004533616.

It can be written as a sum of positive squares in only one way, i.e., 50830853939776 + 10802686121536 = 7129576^2 + 3286744^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×61633540061312² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61633540061312.

It is not an unprimeable number, because it can be changed into a prime (61633540061311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240756015737 + ... + 240756015992.

Almost surely, 2^{61633540061312} is an apocalyptic number.

It is an amenable number.

61633540061312 is a deficient number, since it is larger than the sum of its proper divisors (61152028029838).

61633540061312 is an equidigital number, since it uses as much as digits as its factorization.

61633540061312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481512031743 (or 481512031731 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

Adding to 61633540061312 its reverse (21316004533616), we get a palindrome (82949544594928).

The spelling of 61633540061312 in words is "sixty-one trillion, six hundred thirty-three billion, five hundred forty million, sixty-one thousand, three hundred twelve".