61542355324516 has 48 divisors (see below), whose sum is σ = 121598208829440. Its totient is φ = 26996544126720.

The previous prime is 61542355324507. The next prime is 61542355324519.

61542355324516 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61542355324516² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61542355324519) 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, 8557860 + ... + 14011483.

It is an arithmetic number, because the mean of its divisors is an integer number (2533296017280).

Almost surely, 2^{61542355324516} is an apocalyptic number.

It is an amenable number.

61542355324516 is a deficient number, since it is larger than the sum of its proper divisors (60055853504924).

61542355324516 is a wasteful number, since it uses less digits than its factorization.

61542355324516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22571524 (or 22571522 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The spelling of 61542355324516 in words is "sixty-one trillion, five hundred forty-two billion, three hundred fifty-five million, three hundred twenty-four thousand, five hundred sixteen".