61461531053010 has 48 divisors (see below), whose sum is σ = 174327251716800. Its totient is φ = 14899765103520.

The previous prime is 61461531053009. The next prime is 61461531053029. The reversal of 61461531053010 is 1035013516416.

61461531053010 is a `hidden beast` number, since 6 + 1 + 4 + 61 + 53 + 1 + 0 + 530 + 10 = 666.

It is a super-2 number, since 2×61461531053010² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31041176310 + ... + 31041178289.

It is an arithmetic number, because the mean of its divisors is an integer number (3631817744100).

Almost surely, 2^{61461531053010} is an apocalyptic number.

61461531053010 is an abundant number, since it is smaller than the sum of its proper divisors (112865720663790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61461531053010 is a wasteful number, since it uses less digits than its factorization.

61461531053010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62082354623 (or 62082354620 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 61461531053010 its reverse (1035013516416), we get a palindrome (62496544569426).

The spelling of 61461531053010 in words is "sixty-one trillion, four hundred sixty-one billion, five hundred thirty-one million, fifty-three thousand, ten".